257754213025 has 27 divisors (see below), whose sum is σ = 325313274073. Its totient is φ = 202590612800.

The previous prime is 257754213007. The next prime is 257754213029. The reversal of 257754213025 is 520312457752.

The square root of 257754213025 is 507695.

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 2927134609 + 254827078416 = 54103^2 + 504804^2 .

It is a de Polignac number, because none of the positive numbers 2^k-257754213025 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257754213029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149769165 + ... + 149770885.

Almost surely, 2^257754213025 is an apocalyptic number.

257754213025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257754213025 is the 507695-th square number.

257754213025 is the 253848-th centered octagonal number.

It is an amenable number.

257754213025 is a deficient number, since it is larger than the sum of its proper divisors (67559061048).

257754213025 is an frugal number, since it uses more digits than its factorization.

257754213025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 43.

The spelling of 257754213025 in words is "two hundred fifty-seven billion, seven hundred fifty-four million, two hundred thirteen thousand, twenty-five".