7626131563013 has 12 divisors (see below), whose sum is σ = 7916930415108. Its totient is φ = 7345671473280.

The previous prime is 7626131562989. The next prime is 7626131563031. The reversal of 7626131563013 is 3103651316267.

It can be written as a sum of positive squares in 6 ways, for example, as 1550976325924 + 6075155237089 = 1245382^2 + 2464783^2 .

It is not a de Polignac number, because 7626131563013 - 2¹⁴ = 7626131546629 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7626131503013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10415456 + ... + 11123577.

It is an arithmetic number, because the mean of its divisors is an integer number (659744201259).

Almost surely, 2^{7626131563013} is an apocalyptic number.

It is an amenable number.

7626131563013 is a deficient number, since it is larger than the sum of its proper divisors (290798852095).

7626131563013 is a wasteful number, since it uses less digits than its factorization.

7626131563013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21539512 (or 21539483 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 7626131563013 in words is "seven trillion, six hundred twenty-six billion, one hundred thirty-one million, five hundred sixty-three thousand, thirteen".