507578253 has 32 divisors (see below), whose sum is σ = 835430400. Its totient is φ = 266936256.

The previous prime is 507578243. The next prime is 507578273. The reversal of 507578253 is 352875705.

It is not a de Polignac number, because 507578253 - 2⁶ = 507578189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507578243) 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 31 ways as a sum of consecutive naturals, for example, 95418 + ... + 100596.

It is an arithmetic number, because the mean of its divisors is an integer number (26107200).

Almost surely, 2^507578253 is an apocalyptic number.

It is an amenable number.

507578253 is a deficient number, since it is larger than the sum of its proper divisors (327852147).

507578253 is a wasteful number, since it uses less digits than its factorization.

507578253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561.

The product of its (nonzero) digits is 294000, while the sum is 42.

The square root of 507578253 is about 22529.4973978560. The cubic root of 507578253 is about 797.6903450555.

The spelling of 507578253 in words is "five hundred seven million, five hundred seventy-eight thousand, two hundred fifty-three".