257065050100 has 36 divisors (see below), whose sum is σ = 559303091200. Its totient is φ = 102554696160.

The previous prime is 257065050031. The next prime is 257065050113. The reversal of 257065050100 is 1050560752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3353460 + ... + 3429259.

Almost surely, 2^257065050100 is an apocalyptic number.

257065050100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257065050100 is an abundant number, since it is smaller than the sum of its proper divisors (302238041100).

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

257065050100 is a wasteful number, since it uses less digits than its factorization.

257065050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783112 (or 6783105 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The spelling of 257065050100 in words is "two hundred fifty-seven billion, sixty-five million, fifty thousand, one hundred".