509075431 has 2 divisors, whose sum is σ = 509075432. Its totient is φ = 509075430.

The previous prime is 509075419. The next prime is 509075443. The reversal of 509075431 is 134570905.

It is a balanced prime because it is at equal distance from previous prime (509075419) and next prime (509075443).

It is a cyclic number.

It is not a de Polignac number, because 509075431 - 2⁹ = 509074919 is a prime.

It is a super-2 number, since 2×509075431² = 518315588895671522, which contains 22 as substring.

It is equal to p_26808208 and since 509075431 and 26808208 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509075401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254537715 + 254537716.

It is an arithmetic number, because the mean of its divisors is an integer number (254537716).

Almost surely, 2^509075431 is an apocalyptic number.

509075431 is a deficient number, since it is larger than the sum of its proper divisors (1).

509075431 is an equidigital number, since it uses as much as digits as its factorization.

509075431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 509075431 is about 22562.6999935735. The cubic root of 509075431 is about 798.4738775181.

The spelling of 509075431 in words is "five hundred nine million, seventy-five thousand, four hundred thirty-one".