505259136 has 96 divisors (see below), whose sum is σ = 1467882000. Its totient is φ = 166804992.

The previous prime is 505259107. The next prime is 505259143. The reversal of 505259136 is 631952505.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×505259136² = 510573589022932992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505259136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121215 + ... + 125313.

Almost surely, 2^505259136 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 505259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733941000).

505259136 is an abundant number, since it is smaller than the sum of its proper divisors (962622864).

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

505259136 is a wasteful number, since it uses less digits than its factorization.

505259136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 505259136 is about 22477.9700151059. The cubic root of 505259136 is about 796.4736119067.

The spelling of 505259136 in words is "five hundred five million, two hundred fifty-nine thousand, one hundred thirty-six".