87524264025 has 135 divisors (see below), whose sum is σ = 173505590895. Its totient is φ = 42175663200.

The previous prime is 87524263993. The next prime is 87524264039. The reversal of 87524264025 is 52046242578.

The square root of 87524264025 is 295845.

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

87524264025 is a `hidden beast` number, since 87 + 524 + 2 + 6 + 40 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31508735049 + 56015528976 = 177507^2 + 236676^2 .

It is not a de Polignac number, because 87524264025 - 2⁵ = 87524263993 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 536958594 + ... + 536958756.

Almost surely, 2^87524264025 is an apocalyptic number.

87524264025 is the 295845-th square number.

87524264025 is the 147923-rd centered octagonal number.

It is an amenable number.

87524264025 is a deficient number, since it is larger than the sum of its proper divisors (85981326870).

87524264025 is an equidigital number, since it uses as much as digits as its factorization.

87524264025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 87524264025 in words is "eighty-seven billion, five hundred twenty-four million, two hundred sixty-four thousand, twenty-five".