506772810 has 48 divisors (see below), whose sum is σ = 1360120320. Its totient is φ = 130779360.

The previous prime is 506772797. The next prime is 506772829. The reversal of 506772810 is 18277605.

506772810 is a `hidden beast` number, since 506 + 7 + 72 + 81 + 0 = 666.

It is a super-2 number, since 2×506772810² = 513637361910592200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88030 + ... + 93609.

It is an arithmetic number, because the mean of its divisors is an integer number (28335840).

Almost surely, 2^506772810 is an apocalyptic number.

506772810 is an abundant number, since it is smaller than the sum of its proper divisors (853347510).

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

506772810 is a wasteful number, since it uses less digits than its factorization.

506772810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181683 (or 181680 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 506772810 is about 22511.6150020384. The cubic root of 506772810 is about 797.2681873259.

It can be divided in two parts, 5067 and 72810, that added together give a palindrome (77877).

The spelling of 506772810 in words is "five hundred six million, seven hundred seventy-two thousand, eight hundred ten".