509348431 has 16 divisors (see below), whose sum is σ = 533426400. Its totient is φ = 485751168.

The previous prime is 509348419. The next prime is 509348479. The reversal of 509348431 is 134843905.

It is a cyclic number.

It is not a de Polignac number, because 509348431 - 2¹⁹ = 508824143 is a prime.

It is a super-2 number, since 2×509348431² = 518871648324323522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509348491) 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, 1309185 + ... + 1309573.

It is an arithmetic number, because the mean of its divisors is an integer number (33339150).

Almost surely, 2^509348431 is an apocalyptic number.

509348431 is a deficient number, since it is larger than the sum of its proper divisors (24077969).

509348431 is a wasteful number, since it uses less digits than its factorization.

509348431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 509348431 is about 22568.7489905843. The cubic root of 509348431 is about 798.6165835568.

The spelling of 509348431 in words is "five hundred nine million, three hundred forty-eight thousand, four hundred thirty-one".