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51054505425 = 32527116434583
BaseRepresentation
bin101111100011000101…
…011110110111010001
311212210002001121010100
4233203011132313101
51314024423133200
635242031123013
73455115064410
oct574305366721
9155702047110
1051054505425
111a719a34640
129a8a073469
134a78381c31
1426847c9477
1514dc240d00
hexbe315edd1

51054505425 has 144 divisors (see below), whose sum is σ = 114210690048. Its totient is φ = 21179836800.

The previous prime is 51054505421. The next prime is 51054505429. The reversal of 51054505425 is 52450545015.

51054505425 is a `hidden beast` number, since 5 + 10 + 54 + 50 + 542 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (51054505421) and next prime (51054505429).

It is not a de Polignac number, because 51054505425 - 22 = 51054505421 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51054505425.

It is not an unprimeable number, because it can be changed into a prime (51054505421) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11137684 + ... + 11142266.

It is an arithmetic number, because the mean of its divisors is an integer number (793129792).

Almost surely, 251054505425 is an apocalyptic number.

51054505425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51054505425 is an abundant number, since it is smaller than the sum of its proper divisors (63156184623).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51054505425 is a wasteful number, since it uses less digits than its factorization.

51054505425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 51054505425 in words is "fifty-one billion, fifty-four million, five hundred five thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 643 693 825 1155 1575 1925 1929 2475 3215 3465 4501 4583 5775 5787 7073 9645 13503 13749 16075 17325 21219 22505 22915 28935 32081 35365 40509 41247 48225 49511 50413 63657 67515 68745 96243 106095 112525 114575 144675 148533 151239 160405 176825 202545 206235 247555 252065 288729 318285 337575 343725 352891 445599 453717 481215 530475 742665 756195 802025 1012725 1031175 1058673 1237775 1260325 1443645 1591425 1764455 2227995 2268585 2406075 2946869 3176019 3713325 3780975 5293365 7218225 8822275 8840607 11139975 11342925 14734345 15880095 20628083 26466825 26521821 32415559 44203035 61884249 73671725 79400475 97246677 103140415 132609105 162077795 185652747 221015175 226908913 291740031 309421245 486233385 515702075 663045525 680726739 810388975 928263735 1134544565 1458700155 1547106225 2042180217 2431166925 3403633695 4641318675 5672722825 7293500775 10210901085 17018168475 51054505425