507540032 has 42 divisors (see below), whose sum is σ = 1067957478. Its totient is φ = 238492672.

The previous prime is 507540017. The next prime is 507540067. The reversal of 507540032 is 230045705.

It can be written as a sum of positive squares in only one way, i.e., 477684736 + 29855296 = 21856^2 + 5464^2 .

It is a super-2 number, since 2×507540032² = 515193768165122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 507539983 and 507540010.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 742763 + ... + 743445.

It is an arithmetic number, because the mean of its divisors is an integer number (25427559).

Almost surely, 2^507540032 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 507540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533978739).

507540032 is an abundant number, since it is smaller than the sum of its proper divisors (560417446).

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

507540032 is an frugal number, since it uses more digits than its factorization.

507540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 507540032 is about 22528.6491383749. The cubic root of 507540032 is about 797.6703223380.

Adding to 507540032 its reverse (230045705), we get a palindrome (737585737).

The spelling of 507540032 in words is "five hundred seven million, five hundred forty thousand, thirty-two".