967115130009961 has 2 divisors, whose sum is σ = 967115130009962. Its totient is φ = 967115130009960.

The previous prime is 967115130009943. The next prime is 967115130009967. The reversal of 967115130009961 is 169900031511769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 855454570904025 + 111660559105936 = 29248155^2 + 10566956^2 .

It is a cyclic number.

It is not a de Polignac number, because 967115130009961 - 2¹⁷ = 967115129878889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 967115130009896 and 967115130009905.

It is not a weakly prime, because it can be changed into another prime (967115130009967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483557565004980 + 483557565004981.

It is an arithmetic number, because the mean of its divisors is an integer number (483557565004981).

Almost surely, 2^{967115130009961} is an apocalyptic number.

It is an amenable number.

967115130009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

967115130009961 is an equidigital number, since it uses as much as digits as its factorization.

967115130009961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2755620, while the sum is 58.

The spelling of 967115130009961 in words is "nine hundred sixty-seven trillion, one hundred fifteen billion, one hundred thirty million, nine thousand, nine hundred sixty-one".