509006964 has 24 divisors (see below), whose sum is σ = 1216651968. Its totient is φ = 165530560.

The previous prime is 509006963. The next prime is 509006969. The reversal of 509006964 is 469600905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509006963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516792 + ... + 517775.

It is an arithmetic number, because the mean of its divisors is an integer number (50693832).

Almost surely, 2^509006964 is an apocalyptic number.

It is an amenable number.

509006964 is an abundant number, since it is smaller than the sum of its proper divisors (707645004).

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

509006964 is a wasteful number, since it uses less digits than its factorization.

509006964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034615 (or 1034613 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 509006964 is about 22561.1826817656. The cubic root of 509006964 is about 798.4380795737.

The spelling of 509006964 in words is "five hundred nine million, six thousand, nine hundred sixty-four".