763265716125697 has 2 divisors, whose sum is σ = 763265716125698. Its totient is φ = 763265716125696.

The previous prime is 763265716125623. The next prime is 763265716125709. The reversal of 763265716125697 is 796521617562367.

It is a Cunningham number, because it is equal to 27627264²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 763265716125696 + 1 = 27627264^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 763265716125697 - 2¹⁹ = 763265715601409 is a prime.

It is a super-3 number, since 3×763265716125697³ (a number of 46 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (763265716125607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 381632858062848 + 381632858062849.

It is an arithmetic number, because the mean of its divisors is an integer number (381632858062849).

Almost surely, 2^{763265716125697} is an apocalyptic number.

It is an amenable number.

763265716125697 is a deficient number, since it is larger than the sum of its proper divisors (1).

763265716125697 is an equidigital number, since it uses as much as digits as its factorization.

763265716125697 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1200225600, while the sum is 73.

The spelling of 763265716125697 in words is "seven hundred sixty-three trillion, two hundred sixty-five billion, seven hundred sixteen million, one hundred twenty-five thousand, six hundred ninety-seven".