257261425 has 24 divisors (see below), whose sum is σ = 355557600. Its totient is φ = 183502080.

The previous prime is 257261423. The next prime is 257261449. The reversal of 257261425 is 524162752.

It is not a de Polignac number, because 257261425 - 2¹ = 257261423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257261423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7855 + ... + 24004.

It is an arithmetic number, because the mean of its divisors is an integer number (14814900).

Almost surely, 2^257261425 is an apocalyptic number.

257261425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257261425 is a deficient number, since it is larger than the sum of its proper divisors (98296175).

257261425 is a wasteful number, since it uses less digits than its factorization.

257261425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31905 (or 31900 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 257261425 is about 16039.3710911619. The cubic root of 257261425 is about 636.0016225912.

The spelling of 257261425 in words is "two hundred fifty-seven million, two hundred sixty-one thousand, four hundred twenty-five".