257185369 has 27 divisors (see below), whose sum is σ = 313818687. Its totient is φ = 210148848.

The previous prime is 257185303. The next prime is 257185373. The reversal of 257185369 is 963581752.

The square root of 257185369 is 16037.

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

It can be written as a sum of positive squares in only one way, i.e., 134861769 + 122323600 = 11613^2 + 11060^2 .

It is not a de Polignac number, because 257185369 - 2¹³ = 257177177 is a prime.

It is a super-2 number, since 2×257185369² = 132288628055332322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257185399) 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, 3255472 + ... + 3255550.

Almost surely, 2^257185369 is an apocalyptic number.

257185369 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

257185369 is the 16037-th square number.

257185369 is the 8019-th centered octagonal number.

It is an amenable number.

257185369 is a deficient number, since it is larger than the sum of its proper divisors (56633318).

257185369 is an frugal number, since it uses more digits than its factorization.

257185369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 115 counting only the distinct ones).

The product of its digits is 453600, while the sum is 46.

The cubic root of 257185369 is about 635.9389412066.

The spelling of 257185369 in words is "two hundred fifty-seven million, one hundred eighty-five thousand, three hundred sixty-nine".