115821105625 has 15 divisors (see below), whose sum is σ = 144740686123. Its totient is φ = 92650078000.

The previous prime is 115821105623. The next prime is 115821105637. The reversal of 115821105625 is 526501128511.

The square root of 115821105625 is 340325.

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

It can be written as a sum of positive squares in 7 ways, for example, as 107481032649 + 8340072976 = 327843^2 + 91324^2 .

It is not a de Polignac number, because 115821105625 - 2¹ = 115821105623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115821105623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8501319 + ... + 8514931.

Almost surely, 2^115821105625 is an apocalyptic number.

115821105625 is the 340325-th square number.

115821105625 is the 170163-rd centered octagonal number.

It is an amenable number.

115821105625 is a deficient number, since it is larger than the sum of its proper divisors (28919580498).

115821105625 is an frugal number, since it uses more digits than its factorization.

115821105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27246 (or 13618 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 37.

The spelling of 115821105625 in words is "one hundred fifteen billion, eight hundred twenty-one million, one hundred five thousand, six hundred twenty-five".