505920961 has 32 divisors (see below), whose sum is σ = 676659200. Its totient is φ = 366949440.

The previous prime is 505920917. The next prime is 505920971. The reversal of 505920961 is 169029505.

It is not a de Polignac number, because 505920961 - 2⁹ = 505920449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505920961.

It is not an unprimeable number, because it can be changed into a prime (505920911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48880 + ... + 58318.

It is an arithmetic number, because the mean of its divisors is an integer number (21145600).

Almost surely, 2^505920961 is an apocalyptic number.

It is an amenable number.

505920961 is a deficient number, since it is larger than the sum of its proper divisors (170738239).

505920961 is a wasteful number, since it uses less digits than its factorization.

505920961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509.

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 505920961 is about 22492.6868337244. The cubic root of 505920961 is about 796.8212197789.

The spelling of 505920961 in words is "five hundred five million, nine hundred twenty thousand, nine hundred sixty-one".