213256808989225 has 27 divisors (see below), whose sum is σ = 266046600921637. Its totient is φ = 169574161086080.

The previous prime is 213256808989183. The next prime is 213256808989243. The reversal of 213256808989225 is 522989808652312.

The square root of 213256808989225 is 14603315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 129859220745241 + 83397588243984 = 11395579^2 + 9132228^2 .

It is not a de Polignac number, because 213256808989225 - 2²³ = 213256800600617 is a prime.

It is a super-2 number, since 2×213256808989225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12193759281 + ... + 12193776769.

Almost surely, 2^{213256808989225} is an apocalyptic number.

213256808989225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213256808989225 is the 14603315-th square number.

213256808989225 is the 7301658-th centered octagonal number.

It is an amenable number.

213256808989225 is a deficient number, since it is larger than the sum of its proper divisors (52789791932412).

213256808989225 is an frugal number, since it uses more digits than its factorization.

213256808989225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35322 (or 17661 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 70.

The spelling of 213256808989225 in words is "two hundred thirteen trillion, two hundred fifty-six billion, eight hundred eight million, nine hundred eighty-nine thousand, two hundred twenty-five".