507164329 has 16 divisors (see below), whose sum is σ = 610824960. Its totient is φ = 411681600.

The previous prime is 507164327. The next prime is 507164341. The reversal of 507164329 is 923461705.

It is not a de Polignac number, because 507164329 - 2¹ = 507164327 is a prime.

It is a super-2 number, since 2×507164329² = 514431313220040482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507164327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667 + ... + 31855.

It is an arithmetic number, because the mean of its divisors is an integer number (38176560).

Almost surely, 2^507164329 is an apocalyptic number.

It is an amenable number.

507164329 is a deficient number, since it is larger than the sum of its proper divisors (103660631).

507164329 is a wasteful number, since it uses less digits than its factorization.

507164329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31320.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 507164329 is about 22520.3092563135. The cubic root of 507164329 is about 797.4734504384.

It can be divided in two parts, 507 and 164329, that added together give a square (164836 = 406²).

The spelling of 507164329 in words is "five hundred seven million, one hundred sixty-four thousand, three hundred twenty-nine".