508651164 has 240 divisors, whose sum is σ = 1626240000. Its totient is φ = 138311712.

The previous prime is 508651151. The next prime is 508651177. The reversal of 508651164 is 461156805.

508651164 is a `hidden beast` number, since 5 + 0 + 86 + 511 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (508651151) and next prime (508651177).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2555937 + ... + 2556135.

It is an arithmetic number, because the mean of its divisors is an integer number (6776000).

Almost surely, 2^508651164 is an apocalyptic number.

508651164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508651164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813120000).

508651164 is an abundant number, since it is smaller than the sum of its proper divisors (1117588836).

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

508651164 is a wasteful number, since it uses less digits than its factorization.

508651164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 508651164 is about 22553.2960784006. The cubic root of 508651164 is about 798.2519979763.

The spelling of 508651164 in words is "five hundred eight million, six hundred fifty-one thousand, one hundred sixty-four".