257527420425 has 72 divisors (see below), whose sum is σ = 504596364480. Its totient is φ = 124513545600.

The previous prime is 257527420417. The next prime is 257527420471. The reversal of 257527420425 is 524024725752.

257527420425 is a `hidden beast` number, since 2 + 575 + 2 + 74 + 2 + 0 + 4 + 2 + 5 = 666.

It is not a de Polignac number, because 257527420425 - 2³ = 257527420417 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 743607 + ... + 1033443.

It is an arithmetic number, because the mean of its divisors is an integer number (7008282840).

Almost surely, 2^257527420425 is an apocalyptic number.

257527420425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257527420425 is a deficient number, since it is larger than the sum of its proper divisors (247068944055).

257527420425 is a wasteful number, since it uses less digits than its factorization.

257527420425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290223 (or 290215 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 257527420425 in words is "two hundred fifty-seven billion, five hundred twenty-seven million, four hundred twenty thousand, four hundred twenty-five".