257252854401 has 9 divisors (see below), whose sum is σ = 371589654241. Its totient is φ = 171500888532.

The previous prime is 257252854381. The next prime is 257252854519. The reversal of 257252854401 is 104458252752.

The square root of 257252854401 is 507201.

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

257252854401 is a `hidden beast` number, since 2 + 5 + 72 + 528 + 54 + 4 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 257252854401 - 2⁷ = 257252854273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257252854601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1437070 + ... + 1606136.

Almost surely, 2^257252854401 is an apocalyptic number.

257252854401 is the 507201-st square number.

257252854401 is the 253601-st centered octagonal number.

It is an amenable number.

257252854401 is a deficient number, since it is larger than the sum of its proper divisors (114336799840).

257252854401 is an frugal number, since it uses more digits than its factorization.

257252854401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338140 (or 169070 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 257252854401 in words is "two hundred fifty-seven billion, two hundred fifty-two million, eight hundred fifty-four thousand, four hundred one".