509240375 has 32 divisors (see below), whose sum is σ = 764574720. Its totient is φ = 330804000.

The previous prime is 509240359. The next prime is 509240411. The reversal of 509240375 is 573042905.

It is not a de Polignac number, because 509240375 - 2⁴ = 509240359 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310 + ... + 31940.

It is an arithmetic number, because the mean of its divisors is an integer number (23892960).

Almost surely, 2^509240375 is an apocalyptic number.

509240375 is a deficient number, since it is larger than the sum of its proper divisors (255334345).

509240375 is a wasteful number, since it uses less digits than its factorization.

509240375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30672 (or 30662 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 509240375 is about 22566.3549338390. The cubic root of 509240375 is about 798.5601052462.

The spelling of 509240375 in words is "five hundred nine million, two hundred forty thousand, three hundred seventy-five".