502913952 has 108 divisors (see below), whose sum is σ = 1495498914. Its totient is φ = 160300800.

The previous prime is 502913881. The next prime is 502913963. The reversal of 502913952 is 259319205.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 475414416 + 27499536 = 21804^2 + 5244^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150702 + ... + 154002.

Almost surely, 2^502913952 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 502913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747749457).

502913952 is an abundant number, since it is smaller than the sum of its proper divisors (992584962).

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

502913952 is a wasteful number, since it uses less digits than its factorization.

502913952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 502913952 is about 22425.7430646122. The cubic root of 502913952 is about 795.2394105108.

It can be divided in two parts, 5029 and 13952, that added together give a palindrome (18981).

The spelling of 502913952 in words is "five hundred two million, nine hundred thirteen thousand, nine hundred fifty-two".