505972755 has 48 divisors (see below), whose sum is σ = 931525920. Its totient is φ = 253338624.

The previous prime is 505972729. The next prime is 505972757. The reversal of 505972755 is 557279505.

505972755 is a `hidden beast` number, since 5 + 0 + 597 + 2 + 7 + 55 = 666.

It is not a de Polignac number, because 505972755 - 2⁵ = 505972723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 505972755.

It is not an unprimeable number, because it can be changed into a prime (505972757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93997 + ... + 99233.

It is an arithmetic number, because the mean of its divisors is an integer number (19406790).

Almost surely, 2^505972755 is an apocalyptic number.

505972755 is a deficient number, since it is larger than the sum of its proper divisors (425553165).

505972755 is a wasteful number, since it uses less digits than its factorization.

505972755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The square root of 505972755 is about 22493.8381562596. The cubic root of 505972755 is about 796.8484105545.

The spelling of 505972755 in words is "five hundred five million, nine hundred seventy-two thousand, seven hundred fifty-five".