509701632 has 160 divisors (see below), whose sum is σ = 1501403904. Its totient is φ = 152371200.

The previous prime is 509701631. The next prime is 509701691. The reversal of 509701632 is 236107905.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 509701593 and 509701602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509701631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1638757 + ... + 1639067.

Almost surely, 2^509701632 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 509701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952).

509701632 is an abundant number, since it is smaller than the sum of its proper divisors (991702272).

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

509701632 is a wasteful number, since it uses less digits than its factorization.

509701632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 509701632 is about 22576.5726362528. The cubic root of 509701632 is about 798.8011376421.

The spelling of 509701632 in words is "five hundred nine million, seven hundred one thousand, six hundred thirty-two".