507564353 has 2 divisors, whose sum is σ = 507564354. Its totient is φ = 507564352.

The previous prime is 507564319. The next prime is 507564361. The reversal of 507564353 is 353465705.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 491819329 + 15745024 = 22177^2 + 3968^2 .

It is a cyclic number.

It is not a de Polignac number, because 507564353 - 2²⁰ = 506515777 is a prime.

It is not a weakly prime, because it can be changed into another prime (507564373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253782176 + 253782177.

It is an arithmetic number, because the mean of its divisors is an integer number (253782177).

Almost surely, 2^507564353 is an apocalyptic number.

It is an amenable number.

507564353 is a deficient number, since it is larger than the sum of its proper divisors (1).

507564353 is an equidigital number, since it uses as much as digits as its factorization.

507564353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189000, while the sum is 38.

The square root of 507564353 is about 22529.1889112769. The cubic root of 507564353 is about 797.6830634216.

The spelling of 507564353 in words is "five hundred seven million, five hundred sixty-four thousand, three hundred fifty-three".