508173952 has 64 divisors (see below), whose sum is σ = 1189409760. Its totient is φ = 213212160.

The previous prime is 508173907. The next prime is 508173959. The reversal of 508173952 is 259371805.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (508173959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4423 + ... + 32185.

Almost surely, 2^508173952 is an apocalyptic number.

508173952 is a gapful number since it is divisible by the number (52) 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 508173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594704880).

508173952 is an abundant number, since it is smaller than the sum of its proper divisors (681235808).

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

508173952 is a wasteful number, since it uses less digits than its factorization.

508173952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27801 (or 27789 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 508173952 is about 22542.7139448648. The cubic root of 508173952 is about 798.0022822237.

The spelling of 508173952 in words is "five hundred eight million, one hundred seventy-three thousand, nine hundred fifty-two".