509686993 has 2 divisors, whose sum is σ = 509686994. Its totient is φ = 509686992.

The previous prime is 509686987. The next prime is 509686999. The reversal of 509686993 is 399686905.

It is a balanced prime because it is at equal distance from previous prime (509686987) and next prime (509686999).

It can be written as a sum of positive squares in only one way, i.e., 377252929 + 132434064 = 19423^2 + 11508^2 .

It is a cyclic number.

It is not a de Polignac number, because 509686993 - 2⁹ = 509686481 is a prime.

It is not a weakly prime, because it can be changed into another prime (509686999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254843496 + 254843497.

It is an arithmetic number, because the mean of its divisors is an integer number (254843497).

Almost surely, 2^509686993 is an apocalyptic number.

It is an amenable number.

509686993 is a deficient number, since it is larger than the sum of its proper divisors (1).

509686993 is an equidigital number, since it uses as much as digits as its factorization.

509686993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3149280, while the sum is 55.

The square root of 509686993 is about 22576.2484261668. The cubic root of 509686993 is about 798.7934901865.

The spelling of 509686993 in words is "five hundred nine million, six hundred eighty-six thousand, nine hundred ninety-three".