257121024 has 36 divisors (see below), whose sum is σ = 684318936. Its totient is φ = 85706752.

The previous prime is 257121023. The next prime is 257121041. The reversal of 257121024 is 420121752.

It is a super-2 number, since 2×257121024² = 132222441965617152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 257120985 and 257121003.

It is not an unprimeable number, because it can be changed into a prime (257121023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166629 + ... + 168164.

Almost surely, 2^257121024 is an apocalyptic number.

257121024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257121024 is an abundant number, since it is smaller than the sum of its proper divisors (427197912).

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

257121024 is an equidigital number, since it uses as much as digits as its factorization.

257121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334812 (or 334798 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 257121024 is about 16034.9937324590. The cubic root of 257121024 is about 635.8859017661.

Adding to 257121024 its reverse (420121752), we get a palindrome (677242776).

The spelling of 257121024 in words is "two hundred fifty-seven million, one hundred twenty-one thousand, twenty-four".