506512313262497 has 2 divisors, whose sum is σ = 506512313262498. Its totient is φ = 506512313262496.

The previous prime is 506512313262493. The next prime is 506512313262509. The reversal of 506512313262497 is 794262313215605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 401288395809856 + 105223917452641 = 20032184^2 + 10257871^2 .

It is a cyclic number.

It is not a de Polignac number, because 506512313262497 - 2² = 506512313262493 is a prime.

It is not a weakly prime, because it can be changed into another prime (506512313262493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253256156631248 + 253256156631249.

It is an arithmetic number, because the mean of its divisors is an integer number (253256156631249).

Almost surely, 2^{506512313262497} is an apocalyptic number.

It is an amenable number.

506512313262497 is a deficient number, since it is larger than the sum of its proper divisors (1).

506512313262497 is an equidigital number, since it uses as much as digits as its factorization.

506512313262497 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 506512313262497 in words is "five hundred six trillion, five hundred twelve billion, three hundred thirteen million, two hundred sixty-two thousand, four hundred ninety-seven".