505122561 has 20 divisors (see below), whose sum is σ = 760522752. Its totient is φ = 334090008.

The previous prime is 505122539. The next prime is 505122577. The reversal of 505122561 is 165221505.

505122561 is a `hidden beast` number, since 50 + 51 + 2 + 2 + 561 = 666.

It is not a de Polignac number, because 505122561 - 2⁷ = 505122433 is a prime.

It is a super-3 number, since 3×505122561³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (505122521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14265 + ... + 34838.

Almost surely, 2^505122561 is an apocalyptic number.

It is an amenable number.

505122561 is a deficient number, since it is larger than the sum of its proper divisors (255400191).

505122561 is a wasteful number, since it uses less digits than its factorization.

505122561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49242 (or 49233 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 505122561 is about 22474.9318352693. The cubic root of 505122561 is about 796.4018413515.

The spelling of 505122561 in words is "five hundred five million, one hundred twenty-two thousand, five hundred sixty-one".