853360250625 has 135 divisors (see below), whose sum is σ = 1568435978109. Its totient is φ = 446959296000.

The previous prime is 853360250579. The next prime is 853360250627. The reversal of 853360250625 is 526052063358.

The square root of 853360250625 is 923775.

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

853360250625 is a `hidden beast` number, since 8 + 5 + 33 + 602 + 5 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 470827896561 + 382532354064 = 686169^2 + 618492^2 .

It is not a de Polignac number, because 853360250625 - 2¹³ = 853360242433 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 (853360250627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7551860569 + ... + 7551860681.

Almost surely, 2^853360250625 is an apocalyptic number.

853360250625 is the 923775-th square number.

853360250625 is the 461888-th centered octagonal number.

It is an amenable number.

853360250625 is a deficient number, since it is larger than the sum of its proper divisors (715075727484).

853360250625 is an equidigital number, since it uses as much as digits as its factorization.

853360250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 853360250625 in words is "eight hundred fifty-three billion, three hundred sixty million, two hundred fifty thousand, six hundred twenty-five".