508512317040 has 1920 divisors, whose sum is σ = 2354615961600. Its totient is φ = 99164528640.

The previous prime is 508512317039. The next prime is 508512317041. The reversal of 508512317040 is 40713215805.

508512317040 is a `hidden beast` number, since 5 + 0 + 8 + 512 + 31 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (508512317039) and next prime (508512317041).

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 junction number, because it is equal to n+sod(n) for n = 508512316986 and 508512317004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508512317041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12402739420 + ... + 12402739460.

It is an arithmetic number, because the mean of its divisors is an integer number (1226362480).

Almost surely, 2^508512317040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508512317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177307980800).

508512317040 is an abundant number, since it is smaller than the sum of its proper divisors (1846103644560).

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

508512317040 is a wasteful number, since it uses less digits than its factorization.

508512317040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 508512317040 in words is "five hundred eight billion, five hundred twelve million, three hundred seventeen thousand, forty".