967967000261 has 2 divisors, whose sum is σ = 967967000262. Its totient is φ = 967967000260.

The previous prime is 967967000251. The next prime is 967967000293. The reversal of 967967000261 is 162000769769.

967967000261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 756063291361 + 211903708900 = 869519^2 + 460330^2 .

It is a cyclic number.

It is not a de Polignac number, because 967967000261 - 2¹⁴ = 967966983877 is a prime.

It is a super-2 number, since 2×967967000261² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (967967000251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483983500130 + 483983500131.

It is an arithmetic number, because the mean of its divisors is an integer number (483983500131).

Almost surely, 2^967967000261 is an apocalyptic number.

It is an amenable number.

967967000261 is a deficient number, since it is larger than the sum of its proper divisors (1).

967967000261 is an equidigital number, since it uses as much as digits as its factorization.

967967000261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1714608, while the sum is 53.

The spelling of 967967000261 in words is "nine hundred sixty-seven billion, nine hundred sixty-seven million, two hundred sixty-one", and thus it is an aban number.