501107964 has 96 divisors (see below), whose sum is σ = 1362493440. Its totient is φ = 140398272.

The previous prime is 501107933. The next prime is 501107977. The reversal of 501107964 is 469701105.

It is a super-2 number, since 2×501107964² = 502218383168450592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141257 + ... + 1141695.

It is an arithmetic number, because the mean of its divisors is an integer number (14192640).

Almost surely, 2^501107964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501107964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681246720).

501107964 is an abundant number, since it is smaller than the sum of its proper divisors (861385476).

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

501107964 is a wasteful number, since it uses less digits than its factorization.

501107964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 501107964 is about 22385.4408935808. The cubic root of 501107964 is about 794.2863545520.

The spelling of 501107964 in words is "five hundred one million, one hundred seven thousand, nine hundred sixty-four".