238559917798225 has 135 divisors (see below), whose sum is σ = 321293260579563. Its totient is φ = 175711148030880.

The previous prime is 238559917798201. The next prime is 238559917798231. The reversal of 238559917798225 is 522897719955832.

It is a happy number.

The square root of 238559917798225 is 15445385.

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

It can be written as a sum of positive squares in only one way, i.e., 85881570407361 + 152678347390864 = 9267231^2 + 12356308^2 .

It is not a de Polignac number, because 238559917798225 - 2³⁵ = 238525558059857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1198793556676 + ... + 1198793556874.

Almost surely, 2^{238559917798225} is an apocalyptic number.

238559917798225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238559917798225 is the 15445385-th square number.

238559917798225 is the 7722693-rd centered octagonal number.

It is an amenable number.

238559917798225 is a deficient number, since it is larger than the sum of its proper divisors (82733342781338).

238559917798225 is an frugal number, since it uses more digits than its factorization.

238559917798225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 266 counting only the distinct ones).

The product of its digits is 6858432000, while the sum is 82.

The spelling of 238559917798225 in words is "two hundred thirty-eight trillion, five hundred fifty-nine billion, nine hundred seventeen million, seven hundred ninety-eight thousand, two hundred twenty-five".