397561775625 has 135 divisors (see below), whose sum is σ = 835443371763. Its totient is φ = 181591200000.

The previous prime is 397561775599. The next prime is 397561775671. The reversal of 397561775625 is 526577165793.

The square root of 397561775625 is 630525.

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

397561775625 is a `hidden beast` number, since 3 + 9 + 7 + 5 + 61 + 7 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 374547672009 + 23014103616 = 612003^2 + 151704^2 .

It is not a de Polignac number, because 397561775625 - 2¹⁷ = 397561644553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 331025025 + ... + 331026225.

Almost surely, 2^397561775625 is an apocalyptic number.

397561775625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

397561775625 is the 630525-th square number.

397561775625 is the 315263-rd centered octagonal number.

It is an amenable number.

397561775625 is an abundant number, since it is smaller than the sum of its proper divisors (437881596138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

397561775625 is an frugal number, since it uses more digits than its factorization.

397561775625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 1216 counting only the distinct ones).

The product of its digits is 83349000, while the sum is 63.

It can be divided in two parts, 3975 and 61775625, that added together give a square (61779600 = 7860²).

The spelling of 397561775625 in words is "three hundred ninety-seven billion, five hundred sixty-one million, seven hundred seventy-five thousand, six hundred twenty-five".