87852097973025 has 135 divisors (see below), whose sum is σ = 163192245416239. Its totient is φ = 45177894834240.

The previous prime is 87852097972997. The next prime is 87852097973033. The reversal of 87852097973025 is 52037979025878.

The square root of 87852097973025 is 9372945.

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

87852097973025 is a `hidden beast` number, since 8 + 7 + 8 + 520 + 9 + 7 + 9 + 73 + 0 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 52060164464529 + 35791933508496 = 7215273^2 + 5982636^2 .

It is not a de Polignac number, because 87852097973025 - 2²³ = 87852089584417 is a prime.

It is a super-2 number, since 2×87852097973025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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, 118239700804 + ... + 118239701546.

Almost surely, 2^{87852097973025} is an apocalyptic number.

87852097973025 is the 9372945-th square number.

87852097973025 is the 4686473-rd centered octagonal number.

It is an amenable number.

87852097973025 is a deficient number, since it is larger than the sum of its proper divisors (75340147443214).

87852097973025 is an frugal number, since it uses more digits than its factorization.

87852097973025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 87852097973025 in words is "eighty-seven trillion, eight hundred fifty-two billion, ninety-seven million, nine hundred seventy-three thousand, twenty-five".