258052610048256 has 81 divisors (see below), whose sum is σ = 744031515105151. Its totient is φ = 86017279658496.

The previous prime is 258052610048249. The next prime is 258052610048291. The reversal of 258052610048256 is 652840016250852.

The square root of 258052610048256 is 16064016.

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

258052610048256 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 5 + 2 + 6 + 100 + 482 + 56 = 666.

It is a super-2 number, since 2×258052610048256² (a number of 30 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, 770905435 + ... + 771240101.

Almost surely, 2^{258052610048256} is an apocalyptic number.

258052610048256 is the 16064016-th square number.

It is an amenable number.

258052610048256 is an abundant number, since it is smaller than the sum of its proper divisors (485978905056895).

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

258052610048256 is an frugal number, since it uses more digits than its factorization.

258052610048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669356 (or 334672 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 258052610048256 in words is "two hundred fifty-eight trillion, fifty-two billion, six hundred ten million, forty-eight thousand, two hundred fifty-six".