Search a number
-
+
513745620501 = 331471031114001
BaseRepresentation
bin1110111100111011010…
…00000000111000010101
31211010001211000120202010
413132131220000320111
531404122334324001
61032002251334433
752055044502601
oct7363550007025
91733054016663
10513745620501
11188973011643
1283698451419
13395a4b42a29
141ac18a00501
15d56c7698d6
hex779da00e15

513745620501 has 32 divisors (see below), whose sum is σ = 722841993216. Its totient is φ = 324079200000.

The previous prime is 513745620499. The next prime is 513745620503. The reversal of 513745620501 is 105026547315.

It is an interprime number because it is at equal distance from previous prime (513745620499) and next prime (513745620503).

It is not a de Polignac number, because 513745620501 - 21 = 513745620499 is a prime.

It is a super-2 number, since 2×5137456205012 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513745620501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513745620503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4449501 + ... + 4563501.

It is an arithmetic number, because the mean of its divisors is an integer number (22588812288).

Almost surely, 2513745620501 is an apocalyptic number.

It is an amenable number.

513745620501 is a deficient number, since it is larger than the sum of its proper divisors (209096372715).

513745620501 is a wasteful number, since it uses less digits than its factorization.

513745620501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115113.

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 513745620501 in words is "five hundred thirteen billion, seven hundred forty-five million, six hundred twenty thousand, five hundred one".

Divisors: 1 3 31 47 93 141 1031 1457 3093 4371 31961 48457 95883 114001 145371 342003 1502167 3534031 4506501 5358047 10602093 16074141 117535031 166099457 352605093 498298371 3643585961 5524146457 10930757883 16572439371 171248540167 513745620501