509257605 has 16 divisors (see below), whose sum is σ = 850239360. Its totient is φ = 259795008.

The previous prime is 509257601. The next prime is 509257607. The reversal of 509257605 is 506752905.

It is not a de Polignac number, because 509257605 - 2² = 509257601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509257601) 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, 737710 + ... + 738399.

It is an arithmetic number, because the mean of its divisors is an integer number (53139960).

Almost surely, 2^509257605 is an apocalyptic number.

It is an amenable number.

509257605 is a deficient number, since it is larger than the sum of its proper divisors (340981755).

509257605 is a wasteful number, since it uses less digits than its factorization.

509257605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476140.

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 509257605 is about 22566.7366936383. The cubic root of 509257605 is about 798.5691114943.

The spelling of 509257605 in words is "five hundred nine million, two hundred fifty-seven thousand, six hundred five".