509031797 has 2 divisors, whose sum is σ = 509031798. Its totient is φ = 509031796.

The previous prime is 509031773. The next prime is 509031821. The reversal of 509031797 is 797130905.

It is a balanced prime because it is at equal distance from previous prime (509031773) and next prime (509031821).

It can be written as a sum of positive squares in only one way, i.e., 454286596 + 54745201 = 21314^2 + 7399^2 .

It is a cyclic number.

It is not a de Polignac number, because 509031797 - 2⁸ = 509031541 is a prime.

It is a super-2 number, since 2×509031797² = 518226740714098418, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509031707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254515898 + 254515899.

It is an arithmetic number, because the mean of its divisors is an integer number (254515899).

Almost surely, 2^509031797 is an apocalyptic number.

It is an amenable number.

509031797 is a deficient number, since it is larger than the sum of its proper divisors (1).

509031797 is an equidigital number, since it uses as much as digits as its factorization.

509031797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 59535, while the sum is 41.

The square root of 509031797 is about 22561.7330229750. The cubic root of 509031797 is about 798.4510638691.

The spelling of 509031797 in words is "five hundred nine million, thirty-one thousand, seven hundred ninety-seven".