26335122961 has 27 divisors (see below), whose sum is σ = 31083868539. Its totient is φ = 22246777728.

The previous prime is 26335122959. The next prime is 26335123043. The reversal of 26335122961 is 16922153362.

The square root of 26335122961 is 162281.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11825475025 + 14509647936 = 108745^2 + 120456^2 .

It is not a de Polignac number, because 26335122961 - 2¹ = 26335122959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26335122941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110188680 + ... + 110188918.

Almost surely, 2^26335122961 is an apocalyptic number.

26335122961 is the 162281-st square number.

26335122961 is the 81141-st centered octagonal number.

It is an amenable number.

26335122961 is a deficient number, since it is larger than the sum of its proper divisors (4748745578).

26335122961 is an frugal number, since it uses more digits than its factorization.

26335122961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The spelling of 26335122961 in words is "twenty-six billion, three hundred thirty-five million, one hundred twenty-two thousand, nine hundred sixty-one".