10261114065 has 144 divisors (see below), whose sum is σ = 20103145920. Its totient is φ = 4827064320.

The previous prime is 10261114063. The next prime is 10261114079. The reversal of 10261114065 is 56041116201.

10261114065 is a `hidden beast` number, since 1 + 0 + 2 + 611 + 1 + 40 + 6 + 5 = 666.

10261114065 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10261114065 - 2¹ = 10261114063 is a prime.

10261114065 is a Rhonda number in base 6.

It is not an unprimeable number, because it can be changed into a prime (10261114063) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32369287 + ... + 32369603.

It is an arithmetic number, because the mean of its divisors is an integer number (139605180).

Almost surely, 2^10261114065 is an apocalyptic number.

10261114065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10261114065 is a deficient number, since it is larger than the sum of its proper divisors (9842031855).

10261114065 is a wasteful number, since it uses less digits than its factorization.

10261114065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10261114065 in words is "ten billion, two hundred sixty-one million, one hundred fourteen thousand, sixty-five".