509934057 has 32 divisors (see below), whose sum is σ = 747273600. Its totient is φ = 307872768.

The previous prime is 509934053. The next prime is 509934077. The reversal of 509934057 is 750439905.

It is not a de Polignac number, because 509934057 - 2² = 509934053 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509934053) 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, 823494 + ... + 824112.

It is an arithmetic number, because the mean of its divisors is an integer number (23352300).

Almost surely, 2^509934057 is an apocalyptic number.

It is an amenable number.

509934057 is a deficient number, since it is larger than the sum of its proper divisors (237339543).

509934057 is a wasteful number, since it uses less digits than its factorization.

509934057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225.

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 509934057 is about 22581.7195315149. The cubic root of 509934057 is about 798.9225375156.

The spelling of 509934057 in words is "five hundred nine million, nine hundred thirty-four thousand, fifty-seven".