257239101 has 16 divisors (see below), whose sum is σ = 395792384. Its totient is φ = 145565424.

The previous prime is 257239093. The next prime is 257239111. The reversal of 257239101 is 101932752.

It is not a de Polignac number, because 257239101 - 2³ = 257239093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257239111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57301 + ... + 61626.

It is an arithmetic number, because the mean of its divisors is an integer number (24737024).

Almost surely, 2^257239101 is an apocalyptic number.

257239101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257239101 is a deficient number, since it is larger than the sum of its proper divisors (138553283).

257239101 is a wasteful number, since it uses less digits than its factorization.

257239101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119040.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 257239101 is about 16038.6751634915. The cubic root of 257239101 is about 635.9832255969.

The spelling of 257239101 in words is "two hundred fifty-seven million, two hundred thirty-nine thousand, one hundred one".