87275930625 has 225 divisors, whose sum is σ = 178176815949. Its totient is φ = 42541200000.

The previous prime is 87275930603. The next prime is 87275930653. The reversal of 87275930625 is 52603957278.

The square root of 87275930625 is 295425.

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

87275930625 is a `hidden beast` number, since 8 + 7 + 2 + 7 + 5 + 9 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 86596598529 + 679332096 = 294273^2 + 26064^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 87275930625 - 2¹⁵ = 87275897857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 864118075 + ... + 864118175.

Almost surely, 2^87275930625 is an apocalyptic number.

87275930625 is the 295425-th square number.

87275930625 is the 147713-rd centered octagonal number.

It is an amenable number.

87275930625 is an abundant number, since it is smaller than the sum of its proper divisors (90900885324).

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

87275930625 is an equidigital number, since it uses as much as digits as its factorization.

87275930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 87275930625 in words is "eighty-seven billion, two hundred seventy-five million, nine hundred thirty thousand, six hundred twenty-five".