257839425 has 36 divisors (see below), whose sum is σ = 488992140. Its totient is φ = 129423360.

The previous prime is 257839409. The next prime is 257839429. The reversal of 257839425 is 524938752.

257839425 is a `hidden beast` number, since 2 + 578 + 39 + 42 + 5 = 666.

257839425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1871424 + 255968001 = 1368^2 + 15999^2 .

It is not a de Polignac number, because 257839425 - 2⁴ = 257839409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (257839429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29880 + ... + 37529.

It is an arithmetic number, because the mean of its divisors is an integer number (13583115).

Almost surely, 2^257839425 is an apocalyptic number.

257839425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257839425 is a deficient number, since it is larger than the sum of its proper divisors (231152715).

257839425 is a wasteful number, since it uses less digits than its factorization.

257839425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67442 (or 67434 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 257839425 is about 16057.3791448044. The cubic root of 257839425 is about 636.4775767994.

The spelling of 257839425 in words is "two hundred fifty-seven million, eight hundred thirty-nine thousand, four hundred twenty-five".