47534900625 has 315 divisors, whose sum is σ = 99846891111. Its totient is φ = 22604832000.

The previous prime is 47534900603. The next prime is 47534900639. The reversal of 47534900625 is 52600943574.

The square root of 47534900625 is 218025.

It is a perfect power (a square), and thus also a powerful number.

47534900625 is a `hidden beast` number, since 4 + 7 + 534 + 90 + 0 + 6 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 23213874321 + 24321026304 = 152361^2 + 155952^2 .

It is not a de Polignac number, because 47534900625 - 2⁵ = 47534900593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 2501836866 + ... + 2501836884.

Almost surely, 2^47534900625 is an apocalyptic number.

47534900625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47534900625 is the 218025-th square number.

47534900625 is the 109013-rd centered octagonal number.

It is an amenable number.

47534900625 is an abundant number, since it is smaller than the sum of its proper divisors (52311990486).

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

47534900625 is an frugal number, since it uses more digits than its factorization.

47534900625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 47534900625 in words is "forty-seven billion, five hundred thirty-four million, nine hundred thousand, six hundred twenty-five".