257863125 has 80 divisors (see below), whose sum is σ = 472348800. Its totient is φ = 124320000.

The previous prime is 257863069. The next prime is 257863141. The reversal of 257863125 is 521368752.

It is not a de Polignac number, because 257863125 - 2¹¹ = 257861077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1730551 + ... + 1730699.

It is an arithmetic number, because the mean of its divisors is an integer number (5904360).

Almost surely, 2^257863125 is an apocalyptic number.

257863125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257863125 is a deficient number, since it is larger than the sum of its proper divisors (214485675).

257863125 is a wasteful number, since it uses less digits than its factorization.

257863125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 257863125 is about 16058.1171063111. The cubic root of 257863125 is about 636.4970773813.

It can be divided in two parts, 2578 and 63125, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 257863125 in words is "two hundred fifty-seven million, eight hundred sixty-three thousand, one hundred twenty-five".