5261964691625 has 8 divisors (see below), whose sum is σ = 6566931935304. Its totient is φ = 4209571753200.

The previous prime is 5261964691609. The next prime is 5261964691637.

5261964691625 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 960123659881 + 4301841031744 = 979859^2 + 2074088^2 .

It is not a de Polignac number, because 5261964691625 - 2⁴ = 5261964691609 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21047858642 + ... + 21047858891.

It is an arithmetic number, because the mean of its divisors is an integer number (820866491913).

Almost surely, 2^{5261964691625} is an apocalyptic number.

It is an amenable number.

5261964691625 is a deficient number, since it is larger than the sum of its proper divisors (1304967243679).

5261964691625 is an equidigital number, since it uses as much as digits as its factorization.

5261964691625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42095717548 (or 42095717538 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 62.

The spelling of 5261964691625 in words is "five trillion, two hundred sixty-one billion, nine hundred sixty-four million, six hundred ninety-one thousand, six hundred twenty-five".