31362565112261 has 2 divisors, whose sum is σ = 31362565112262. Its totient is φ = 31362565112260.

The previous prime is 31362565112237. The next prime is 31362565112279. The reversal of 31362565112261 is 16221156526313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30991422196036 + 371142916225 = 5566994^2 + 609215^2 .

It is a cyclic number.

It is not a de Polignac number, because 31362565112261 - 2³⁴ = 31345385243077 is a prime.

It is a super-2 number, since 2×31362565112261² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31362565114261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15681282556130 + 15681282556131.

It is an arithmetic number, because the mean of its divisors is an integer number (15681282556131).

Almost surely, 2^{31362565112261} is an apocalyptic number.

It is an amenable number.

31362565112261 is a deficient number, since it is larger than the sum of its proper divisors (1).

31362565112261 is an equidigital number, since it uses as much as digits as its factorization.

31362565112261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 388800, while the sum is 44.

The spelling of 31362565112261 in words is "thirty-one trillion, three hundred sixty-two billion, five hundred sixty-five million, one hundred twelve thousand, two hundred sixty-one".