504002961 has 96 divisors (see below), whose sum is σ = 970444800. Its totient is φ = 244016640.

The previous prime is 504002953. The next prime is 504003001. The reversal of 504002961 is 169200405.

It is not a de Polignac number, because 504002961 - 2³ = 504002953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (504042961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2108680 + ... + 2108918.

It is an arithmetic number, because the mean of its divisors is an integer number (10108800).

Almost surely, 2^504002961 is an apocalyptic number.

504002961 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

504002961 is a deficient number, since it is larger than the sum of its proper divisors (466441839).

504002961 is a wasteful number, since it uses less digits than its factorization.

504002961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 504002961 is about 22450.0102672582. The cubic root of 504002961 is about 795.8130000403.

It can be divided in two parts, 50400 and 2961, that added together give a square (53361 = 231²).

The spelling of 504002961 in words is "five hundred four million, two thousand, nine hundred sixty-one".