510716232 has 128 divisors (see below), whose sum is σ = 1536192000. Its totient is φ = 156280320.

The previous prime is 510716231. The next prime is 510716251. The reversal of 510716232 is 232617015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 510716196 and 510716205.

It is not an unprimeable number, because it can be changed into a prime (510716231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670732 + ... + 671492.

It is an arithmetic number, because the mean of its divisors is an integer number (12001500).

Almost surely, 2^510716232 is an apocalyptic number.

510716232 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 510716232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

510716232 is an abundant number, since it is smaller than the sum of its proper divisors (1025475768).

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

510716232 is a wasteful number, since it uses less digits than its factorization.

510716232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 510716232 is about 22599.0316606708. The cubic root of 510716232 is about 799.3308112224.

The spelling of 510716232 in words is "five hundred ten million, seven hundred sixteen thousand, two hundred thirty-two".