501105696 has 192 divisors, whose sum is σ = 1704729600. Its totient is φ = 125162496.

The previous prime is 501105673. The next prime is 501105701. The reversal of 501105696 is 696501105.

It is a super-2 number, since 2×501105696² = 502213837127288832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164475 + ... + 167493.

It is an arithmetic number, because the mean of its divisors is an integer number (8878800).

Almost surely, 2^501105696 is an apocalyptic number.

501105696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501105696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852364800).

501105696 is an abundant number, since it is smaller than the sum of its proper divisors (1203623904).

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

501105696 is a wasteful number, since it uses less digits than its factorization.

501105696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 501105696 is about 22385.3902355979. The cubic root of 501105696 is about 794.2851562446.

The spelling of 501105696 in words is "five hundred one million, one hundred five thousand, six hundred ninety-six".