507031411300164 has 81 divisors (see below), whose sum is σ = 1283644175889439. Its totient is φ = 168749584323600.

The previous prime is 507031411300091. The next prime is 507031411300199. The reversal of 507031411300164 is 461003114130705.

The square root of 507031411300164 is 22517358.

It is a perfect power (a square), and thus also a powerful number.

507031411300164 is a `hidden beast` number, since 5 + 0 + 70 + 314 + 113 + 0 + 0 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100382379439 + ... + 100382384489.

Almost surely, 2^{507031411300164} is an apocalyptic number.

507031411300164 is the 22517358-th square number.

It is an amenable number.

507031411300164 is an abundant number, since it is smaller than the sum of its proper divisors (776612764589275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

507031411300164 is an frugal number, since it uses more digits than its factorization.

507031411300164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11598 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

507031411300164 divided by its sum of digits (36) gives a square (14084205869449 = 3752893²).

Adding to 507031411300164 its reverse (461003114130705), we get a palindrome (968034525430869).

The spelling of 507031411300164 in words is "five hundred seven trillion, thirty-one billion, four hundred eleven million, three hundred thousand, one hundred sixty-four".