509354909125 has 8 divisors (see below), whose sum is σ = 635674926744. Its totient is φ = 407483927200.

The previous prime is 509354909113. The next prime is 509354909131. The reversal of 509354909125 is 521909453905.

It can be written as a sum of positive squares in 4 ways, for example, as 2249984356 + 507104924769 = 47434^2 + 712113^2 .

It is not a de Polignac number, because 509354909125 - 2⁵ = 509354909093 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2037419512 + ... + 2037419761.

It is an arithmetic number, because the mean of its divisors is an integer number (79459365843).

Almost surely, 2^509354909125 is an apocalyptic number.

It is an amenable number.

509354909125 is a deficient number, since it is larger than the sum of its proper divisors (126320017619).

509354909125 is an equidigital number, since it uses as much as digits as its factorization.

509354909125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074839288 (or 4074839278 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 52.

The spelling of 509354909125 in words is "five hundred nine billion, three hundred fifty-four million, nine hundred nine thousand, one hundred twenty-five".