Search a number
-
+
51054512025 = 35211269379607
BaseRepresentation
bin101111100011000101…
…100000011110011001
311212210002001221011210
4233203011200132121
51314024423341100
635242031213333
73455115122556
oct574305403631
9155702057153
1051054512025
111a719a395a0
129a8a077249
134a78384c3a
1426847cba2d
1514dc242c50
hexbe3160799

51054512025 has 96 divisors (see below), whose sum is σ = 92822630400. Its totient is φ = 24556089600.

The previous prime is 51054512023. The next prime is 51054512051. The reversal of 51054512025 is 52021545015.

51054512025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51054512025 - 21 = 51054512023 is a prime.

It is a super-2 number, since 2×510545120252 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51054511983 and 51054512001.

It is not an unprimeable number, because it can be changed into a prime (51054512023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84109272 + ... + 84109878.

It is an arithmetic number, because the mean of its divisors is an integer number (966902400).

Almost surely, 251054512025 is an apocalyptic number.

51054512025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51054512025 is a deficient number, since it is larger than the sum of its proper divisors (41768118375).

51054512025 is a wasteful number, since it uses less digits than its factorization.

51054512025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 51054512025 in words is "fifty-one billion, fifty-four million, five hundred twelve thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 269 275 379 607 807 825 1137 1345 1821 1895 2959 3035 4035 4169 5685 6677 6725 8877 9105 9475 12507 14795 15175 20031 20175 20845 28425 33385 44385 45525 62535 73975 100155 101951 104225 163283 166925 221925 230053 305853 312675 489849 500775 509755 690159 816415 1121461 1150265 1529265 1796113 2449245 2530583 2548775 3364383 3450795 4082075 5388339 5607305 5751325 7591749 7646325 8980565 12246225 12652915 16821915 17253975 26941695 28036525 37958745 44902825 61884257 63264575 84109575 134708475 185652771 189793725 309421285 680726827 928263855 1547106425 2042180481 3403634135 4641319275 10210902405 17018170675 51054512025