509713992 has 128 divisors (see below), whose sum is σ = 1512345600. Its totient is φ = 158505984.

The previous prime is 509713943. The next prime is 509713993. The reversal of 509713992 is 299317905.

It is a happy number.

509713992 is a `hidden beast` number, since 509 + 7 + 139 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (509713993) 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, 465798 + ... + 466890.

It is an arithmetic number, because the mean of its divisors is an integer number (11815200).

Almost surely, 2^509713992 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 509713992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756172800).

509713992 is an abundant number, since it is smaller than the sum of its proper divisors (1002631608).

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

509713992 is a wasteful number, since it uses less digits than its factorization.

509713992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 509713992 is about 22576.8463696771. The cubic root of 509713992 is about 798.8075944275.

The spelling of 509713992 in words is "five hundred nine million, seven hundred thirteen thousand, nine hundred ninety-two".