509747057 has 16 divisors (see below), whose sum is σ = 552873600. Its totient is φ = 468179712.

The previous prime is 509747033. The next prime is 509747089. The reversal of 509747057 is 750747905.

It is a cyclic number.

It is not a de Polignac number, because 509747057 - 2²⁸ = 241311601 is a prime.

It is a super-2 number, since 2×509747057² = 519684124240322498, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 509746999 and 509747017.

It is not an unprimeable number, because it can be changed into a prime (509747027) 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, 177878 + ... + 180720.

It is an arithmetic number, because the mean of its divisors is an integer number (34554600).

Almost surely, 2^509747057 is an apocalyptic number.

It is an amenable number.

509747057 is a deficient number, since it is larger than the sum of its proper divisors (43126543).

509747057 is a wasteful number, since it uses less digits than its factorization.

509747057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112.

The product of its (nonzero) digits is 308700, while the sum is 44.

The square root of 509747057 is about 22577.5786345658. The cubic root of 509747057 is about 798.8248668603.

The spelling of 509747057 in words is "five hundred nine million, seven hundred forty-seven thousand, fifty-seven".