31235180007961 has 2 divisors, whose sum is σ = 31235180007962. Its totient is φ = 31235180007960.

The previous prime is 31235180007959. The next prime is 31235180008117. The reversal of 31235180007961 is 16970008153213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30555246182400 + 679933825561 = 5527680^2 + 824581^2 .

It is a cyclic number.

It is not a de Polignac number, because 31235180007961 - 2¹ = 31235180007959 is a prime.

Together with 31235180007959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31235180004961) 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, 15617590003980 + 15617590003981.

It is an arithmetic number, because the mean of its divisors is an integer number (15617590003981).

Almost surely, 2^{31235180007961} is an apocalyptic number.

It is an amenable number.

31235180007961 is a deficient number, since it is larger than the sum of its proper divisors (1).

31235180007961 is an equidigital number, since it uses as much as digits as its factorization.

31235180007961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 31235180007961 in words is "thirty-one trillion, two hundred thirty-five billion, one hundred eighty million, seven thousand, nine hundred sixty-one".