252350285778369 has 27 divisors (see below), whose sum is σ = 365361204766467. Its totient is φ = 167839721390016.

The previous prime is 252350285778323. The next prime is 252350285778379. The reversal of 252350285778369 is 963877582053252.

The square root of 252350285778369 is 15885537.

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

252350285778369 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 502 + 8 + 57 + 7 + 8 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 228535026890625 + 23815258887744 = 15117375^2 + 4880088^2 .

It is not a de Polignac number, because 252350285778369 - 2¹⁵ = 252350285745601 is a prime.

It is a super-2 number, since 2×252350285778369² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252350285778297 and 252350285778306.

It is not an unprimeable number, because it can be changed into a prime (252350285778379) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21111872697 + ... + 21111884649.

Almost surely, 2^{252350285778369} is an apocalyptic number.

252350285778369 is the 15885537-th square number.

252350285778369 is the 7942769-th centered octagonal number.

It is an amenable number.

252350285778369 is a deficient number, since it is larger than the sum of its proper divisors (113010918988098).

252350285778369 is an frugal number, since it uses more digits than its factorization.

252350285778369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24798 (or 12399 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 252350285778369 in words is "two hundred fifty-two trillion, three hundred fifty billion, two hundred eighty-five million, seven hundred seventy-eight thousand, three hundred sixty-nine".