512428257 has 24 divisors (see below), whose sum is σ = 808767648. Its totient is φ = 310060800.

The previous prime is 512428253. The next prime is 512428283. The reversal of 512428257 is 752824215.

It is a happy number.

It is not a de Polignac number, because 512428257 - 2² = 512428253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (512428253) 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 23 ways as a sum of consecutive naturals, for example, 62782 + ... + 70472.

It is an arithmetic number, because the mean of its divisors is an integer number (33698652).

Almost surely, 2^512428257 is an apocalyptic number.

It is an amenable number.

512428257 is a deficient number, since it is larger than the sum of its proper divisors (296339391).

512428257 is a wasteful number, since it uses less digits than its factorization.

512428257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8381 (or 8378 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 512428257 is about 22636.8782520912. The cubic root of 512428257 is about 800.2229883603. Note that the first 3 decimals are identical.

The spelling of 512428257 in words is "five hundred twelve million, four hundred twenty-eight thousand, two hundred fifty-seven".