258536656225 has 9 divisors (see below), whose sum is σ = 320588606233. Its totient is φ = 206827291120.

The previous prime is 258536656207. The next prime is 258536656321. The reversal of 258536656225 is 522656635852.

It is a happy number.

The square root of 258536656225 is 508465.

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 37959897889 + 220576758336 = 194833^2 + 469656^2 .

It is not a de Polignac number, because 258536656225 - 2¹³ = 258536648033 is a prime.

It is a super-2 number, since 2×258536656225² (a number of 24 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 8 ways as a sum of consecutive naturals, for example, 2491479 + ... + 2593171.

Almost surely, 2^258536656225 is an apocalyptic number.

258536656225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258536656225 is the 508465-th square number.

258536656225 is the 254233-rd centered octagonal number.

It is an amenable number.

258536656225 is a deficient number, since it is larger than the sum of its proper divisors (62051950008).

258536656225 is an frugal number, since it uses more digits than its factorization.

258536656225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203396 (or 101698 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 55.

The spelling of 258536656225 in words is "two hundred fifty-eight billion, five hundred thirty-six million, six hundred fifty-six thousand, two hundred twenty-five".