506512976970 has 384 divisors, whose sum is σ = 1677841143552. Its totient is φ = 96187392000.

The previous prime is 506512976933. The next prime is 506512976999. The reversal of 506512976970 is 79679215605.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 506512976970.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21219282 + ... + 21243138.

It is an arithmetic number, because the mean of its divisors is an integer number (4369377978).

Almost surely, 2^506512976970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506512976970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838920571776).

506512976970 is an abundant number, since it is smaller than the sum of its proper divisors (1171328166582).

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

506512976970 is a wasteful number, since it uses less digits than its factorization.

506512976970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24006 (or 23999 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 57.

The spelling of 506512976970 in words is "five hundred six billion, five hundred twelve million, nine hundred seventy-six thousand, nine hundred seventy".