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51131450025 = 3252304174729
BaseRepresentation
bin101111100111101011…
…000000001010101001
311212222102211210021100
4233213223000022221
51314204122400100
635253420232013
73460041103605
oct574753001251
9155872753240
1051131450025
111a759409217
129aab99b609
134a8b2b2696
142690ad8505
1514e3d8e400
hexbe7ac02a9

51131450025 has 36 divisors (see below), whose sum is σ = 91613449980. Its totient is φ = 27260774400.

The previous prime is 51131449991. The next prime is 51131450093. The reversal of 51131450025 is 52005413115.

51131450025 is a `hidden beast` number, since 5 + 1 + 131 + 4 + 500 + 25 = 666.

51131450025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 949625856 + 50181824169 = 30816^2 + 224013^2 .

It is not a de Polignac number, because 51131450025 - 210 = 51131449001 is a prime.

It is a super-2 number, since 2×511314500252 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 646861 + ... + 721589.

It is an arithmetic number, because the mean of its divisors is an integer number (2544818055).

Almost surely, 251131450025 is an apocalyptic number.

It is an amenable number.

51131450025 is a deficient number, since it is larger than the sum of its proper divisors (40481999955).

51131450025 is a wasteful number, since it uses less digits than its factorization.

51131450025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77786 (or 77778 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 51131450025 in words is "fifty-one billion, one hundred thirty-one million, four hundred fifty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3041 9123 15205 27369 45615 74729 76025 136845 224187 228075 373645 672561 684225 1120935 1868225 3362805 5604675 16814025 227250889 681752667 1136254445 2045258001 3408763335 5681272225 10226290005 17043816675 51131450025