2252656282761 has 12 divisors (see below), whose sum is σ = 3253857139780. Its totient is φ = 1501761492000.

The previous prime is 2252656282757. The next prime is 2252656282787. The reversal of 2252656282761 is 1672826562522.

2252656282761 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 6 + 5 + 628 + 2 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2060246846736 + 192409436025 = 1435356^2 + 438645^2 .

It is not a de Polignac number, because 2252656282761 - 2² = 2252656282757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2252656282698 and 2252656282707.

It is not an unprimeable number, because it can be changed into a prime (2252656282061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 943995 + ... + 2323023.

Almost surely, 2^{2252656282761} is an apocalyptic number.

It is an amenable number.

2252656282761 is a deficient number, since it is larger than the sum of its proper divisors (1001200857019).

2252656282761 is a wasteful number, since it uses less digits than its factorization.

2252656282761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560536 (or 1560533 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 2252656282761 in words is "two trillion, two hundred fifty-two billion, six hundred fifty-six million, two hundred eighty-two thousand, seven hundred sixty-one".