10261164761 has 2 divisors, whose sum is σ = 10261164762. Its totient is φ = 10261164760.

The previous prime is 10261164733. The next prime is 10261164769. The reversal of 10261164761 is 16746116201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9518929225 + 742235536 = 97565^2 + 27244^2 .

It is a cyclic number.

It is not a de Polignac number, because 10261164761 - 2²² = 10256970457 is a prime.

It is not a weakly prime, because it can be changed into another prime (10261164769) 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, 5130582380 + 5130582381.

It is an arithmetic number, because the mean of its divisors is an integer number (5130582381).

Almost surely, 2^10261164761 is an apocalyptic number.

It is an amenable number.

10261164761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10261164761 is an equidigital number, since it uses as much as digits as its factorization.

10261164761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 10261164761 in words is "ten billion, two hundred sixty-one million, one hundred sixty-four thousand, seven hundred sixty-one".