507220353 has 32 divisors (see below), whose sum is σ = 779414400. Its totient is φ = 325620288.

The previous prime is 507220349. The next prime is 507220367. The reversal of 507220353 is 353022705.

It is not a de Polignac number, because 507220353 - 2² = 507220349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (507220393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435550 + ... + 436712.

It is an arithmetic number, because the mean of its divisors is an integer number (24356700).

Almost surely, 2^507220353 is an apocalyptic number.

It is an amenable number.

507220353 is a deficient number, since it is larger than the sum of its proper divisors (272194047).

507220353 is a wasteful number, since it uses less digits than its factorization.

507220353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 507220353 is about 22521.5530769972. The cubic root of 507220353 is about 797.5028137072.

It can be divided in two parts, 5072 and 20353, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 507220353 in words is "five hundred seven million, two hundred twenty thousand, three hundred fifty-three".