509253945 has 32 divisors (see below), whose sum is σ = 849543552. Its totient is φ = 260262912.

The previous prime is 509253931. The next prime is 509253947. The reversal of 509253945 is 549352905.

It is not a de Polignac number, because 509253945 - 2⁴ = 509253929 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 509253897 and 509253906.

It is not an unprimeable number, because it can be changed into a prime (509253947) 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, 26737 + ... + 41633.

It is an arithmetic number, because the mean of its divisors is an integer number (26548236).

Almost surely, 2^509253945 is an apocalyptic number.

It is an amenable number.

509253945 is a deficient number, since it is larger than the sum of its proper divisors (340289607).

509253945 is a wasteful number, since it uses less digits than its factorization.

509253945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15001.

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 509253945 is about 22566.6556006866. The cubic root of 509253945 is about 798.5671984023.

The spelling of 509253945 in words is "five hundred nine million, two hundred fifty-three thousand, nine hundred forty-five".