509072421 has 64 divisors (see below), whose sum is σ = 833495040. Its totient is φ = 272160000.

The previous prime is 509072413. The next prime is 509072423. The reversal of 509072421 is 124270905.

It is not a de Polignac number, because 509072421 - 2³ = 509072413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509072423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1343010 + ... + 1343388.

It is an arithmetic number, because the mean of its divisors is an integer number (13023360).

Almost surely, 2^509072421 is an apocalyptic number.

It is an amenable number.

509072421 is a deficient number, since it is larger than the sum of its proper divisors (324422619).

509072421 is a wasteful number, since it uses less digits than its factorization.

509072421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 509072421 is about 22562.6332904650. The cubic root of 509072421 is about 798.4723038083.

The spelling of 509072421 in words is "five hundred nine million, seventy-two thousand, four hundred twenty-one".