257323867441 has 27 divisors (see below), whose sum is σ = 270248505753. Its totient is φ = 245011893000.

The previous prime is 257323867421. The next prime is 257323867447. The reversal of 257323867441 is 144768323752.

The square root of 257323867441 is 507271.

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

It is not a de Polignac number, because 257323867441 - 2¹⁵ = 257323834673 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (257323867447) 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, 1025194566 + ... + 1025194816.

Almost surely, 2^257323867441 is an apocalyptic number.

257323867441 is the 507271-st square number.

257323867441 is the 253636-th centered octagonal number.

It is an amenable number.

257323867441 is a deficient number, since it is larger than the sum of its proper divisors (12924638312).

257323867441 is an frugal number, since it uses more digits than its factorization.

257323867441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 341 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 52.

The spelling of 257323867441 in words is "two hundred fifty-seven billion, three hundred twenty-three million, eight hundred sixty-seven thousand, four hundred forty-one".