509496448031957 has 2 divisors, whose sum is σ = 509496448031958. Its totient is φ = 509496448031956.

The previous prime is 509496448031951. The next prime is 509496448032041. The reversal of 509496448031957 is 759130844694905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 435425053319281 + 74071394712676 = 20866841^2 + 8606474^2 .

It is a cyclic number.

It is not a de Polignac number, because 509496448031957 - 2²² = 509496443837653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509496448031951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254748224015978 + 254748224015979.

It is an arithmetic number, because the mean of its divisors is an integer number (254748224015979).

Almost surely, 2^{509496448031957} is an apocalyptic number.

It is an amenable number.

509496448031957 is a deficient number, since it is larger than the sum of its proper divisors (1).

509496448031957 is an equidigital number, since it uses as much as digits as its factorization.

509496448031957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1175731200, while the sum is 74.

The spelling of 509496448031957 in words is "five hundred nine trillion, four hundred ninety-six billion, four hundred forty-eight million, thirty-one thousand, nine hundred fifty-seven".