836538890625 has 147 divisors (see below), whose sum is σ = 1573579643079. Its totient is φ = 444507750000.

The previous prime is 836538890581. The next prime is 836538890633. The reversal of 836538890625 is 526098835638.

The square root of 836538890625 is 914625.

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

836538890625 is a `hidden beast` number, since 8 + 3 + 6 + 538 + 8 + 90 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 732888375921 + 103650514704 = 856089^2 + 321948^2 .

It is not a de Polignac number, because 836538890625 - 2⁹ = 836538890113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 3086859240 + ... + 3086859510.

Almost surely, 2^836538890625 is an apocalyptic number.

836538890625 is the 914625-th square number.

836538890625 is the 457313-rd centered octagonal number.

It is an amenable number.

836538890625 is a deficient number, since it is larger than the sum of its proper divisors (737040752454).

836538890625 is an frugal number, since it uses more digits than its factorization.

836538890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 836538890625 in words is "eight hundred thirty-six billion, five hundred thirty-eight million, eight hundred ninety thousand, six hundred twenty-five".