87709312355625 has 135 divisors (see below), whose sum is σ = 159384229207203. Its totient is φ = 46463999616000.

The previous prime is 87709312355591. The next prime is 87709312355681. The reversal of 87709312355625 is 52655321390778.

The square root of 87709312355625 is 9365325.

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

87709312355625 is a `hidden beast` number, since 8 + 7 + 7 + 0 + 9 + 31 + 2 + 35 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 83117446233129 + 4591866122496 = 9116877^2 + 2142864^2 .

It is not a de Polignac number, because 87709312355625 - 2⁹ = 87709312355113 is a prime.

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, 135563079052 + ... + 135563079698.

Almost surely, 2^{87709312355625} is an apocalyptic number.

87709312355625 is the 9365325-th square number.

87709312355625 is the 4682663-rd centered octagonal number.

It is an amenable number.

87709312355625 is a deficient number, since it is larger than the sum of its proper divisors (71674916851578).

87709312355625 is an frugal number, since it uses more digits than its factorization.

87709312355625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 87709312355625 in words is "eighty-seven trillion, seven hundred nine billion, three hundred twelve million, three hundred fifty-five thousand, six hundred twenty-five".