257021342325 has 72 divisors (see below), whose sum is σ = 518983449600. Its totient is φ = 124616368800.

The previous prime is 257021342321. The next prime is 257021342329. The reversal of 257021342325 is 523243120752.

257021342325 is a `hidden beast` number, since 2 + 570 + 2 + 13 + 42 + 32 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (257021342321) and next prime (257021342329).

It is not a de Polignac number, because 257021342325 - 2² = 257021342321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257021342325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257021342321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1491765 + ... + 1655114.

Almost surely, 2^257021342325 is an apocalyptic number.

257021342325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257021342325 is an abundant number, since it is smaller than the sum of its proper divisors (261962107275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257021342325 is a wasteful number, since it uses less digits than its factorization.

257021342325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146920 (or 3146898 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 257021342325 in words is "two hundred fifty-seven billion, twenty-one million, three hundred forty-two thousand, three hundred twenty-five".