131753107262563 has 2 divisors, whose sum is σ = 131753107262564. Its totient is φ = 131753107262562.

The previous prime is 131753107262507. The next prime is 131753107262617. The reversal of 131753107262563 is 365262701357131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131753107262563 - 2¹⁷ = 131753107131491 is a prime.

It is a super-2 number, since 2×131753107262563² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131753107262563.

It is not a weakly prime, because it can be changed into another prime (131753107260563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65876553631281 + 65876553631282.

It is an arithmetic number, because the mean of its divisors is an integer number (65876553631282).

Almost surely, 2^{131753107262563} is an apocalyptic number.

131753107262563 is a deficient number, since it is larger than the sum of its proper divisors (1).

131753107262563 is an equidigital number, since it uses as much as digits as its factorization.

131753107262563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4762800, while the sum is 52.

The spelling of 131753107262563 in words is "one hundred thirty-one trillion, seven hundred fifty-three billion, one hundred seven million, two hundred sixty-two thousand, five hundred sixty-three".