506512313262560 has 192 divisors, whose sum is σ = 1350469925521920. Its totient is φ = 177830427371520.

The previous prime is 506512313262509. The next prime is 506512313262563. The reversal of 506512313262560 is 65262313215605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506512313262563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406277637 + ... + 2406488123.

It is an arithmetic number, because the mean of its divisors is an integer number (7033697528760).

Almost surely, 2^{506512313262560} 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 506512313262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675234962760960).

506512313262560 is an abundant number, since it is smaller than the sum of its proper divisors (843957612259360).

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

506512313262560 is a wasteful number, since it uses less digits than its factorization.

506512313262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257689 (or 257681 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 47.

The spelling of 506512313262560 in words is "five hundred six trillion, five hundred twelve billion, three hundred thirteen million, two hundred sixty-two thousand, five hundred sixty".