87506514225 has 243 divisors, whose sum is σ = 178786824489. Its totient is φ = 40893465600.

The previous prime is 87506514223. The next prime is 87506514241. The reversal of 87506514225 is 52241560578.

The square root of 87506514225 is 295815.

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

87506514225 is a `hidden beast` number, since 87 + 50 + 6 + 514 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 56173266081 + 31333248144 = 237009^2 + 177012^2 .

It is not a de Polignac number, because 87506514225 - 2¹ = 87506514223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (87506514223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2134305205 + ... + 2134305245.

Almost surely, 2^87506514225 is an apocalyptic number.

87506514225 is the 295815-th square number.

87506514225 is the 147908-th centered octagonal number.

It is an amenable number.

87506514225 is an abundant number, since it is smaller than the sum of its proper divisors (91280310264).

87506514225 is a wasteful number, since it uses less digits than its factorization.

87506514225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 87506514225 in words is "eighty-seven billion, five hundred six million, five hundred fourteen thousand, two hundred twenty-five".