257410023 has 32 divisors (see below), whose sum is σ = 379524096. Its totient is φ = 154197888.

The previous prime is 257410001. The next prime is 257410037. The reversal of 257410023 is 320014752.

It is not a de Polignac number, because 257410023 - 2⁵ = 257409991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257409975 and 257410002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257410063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580840 + ... + 581282.

It is an arithmetic number, because the mean of its divisors is an integer number (11860128).

Almost surely, 2^257410023 is an apocalyptic number.

257410023 is a deficient number, since it is larger than the sum of its proper divisors (122114073).

257410023 is a wasteful number, since it uses less digits than its factorization.

257410023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 257410023 is about 16044.0027112937. The cubic root of 257410023 is about 636.1240536662.

Adding to 257410023 its reverse (320014752), we get a palindrome (577424775).

The spelling of 257410023 in words is "two hundred fifty-seven million, four hundred ten thousand, twenty-three".