257057089 has 3 divisors (see below), whose sum is σ = 257073123. Its totient is φ = 257041056.

The previous prime is 257057083. The next prime is 257057117. The reversal of 257057089 is 980750752.

The square root of 257057089 is 16033.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 801025 + 256256064 = 895^2 + 16008^2 .

It is not a de Polignac number, because 257057089 - 2¹⁵ = 257024321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257057083) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8017 + ... + 24049.

It is an arithmetic number, because the mean of its divisors is an integer number (85691041).

Almost surely, 2^257057089 is an apocalyptic number.

257057089 is the 16033-rd square number.

257057089 is the 8017-th centered octagonal number.

It is an amenable number.

257057089 is a deficient number, since it is larger than the sum of its proper divisors (16034).

257057089 is an frugal number, since it uses more digits than its factorization.

257057089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32066 (or 16033 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The cubic root of 257057089 is about 635.8331915226.

Multiplying 257057089 by its product of nonzero digits (176400), we get a square (45344870499600 = 6733860²).

The spelling of 257057089 in words is "two hundred fifty-seven million, fifty-seven thousand, eighty-nine".