2561952763047 has 32 divisors (see below), whose sum is σ = 3473332157440. Its totient is φ = 1679367634560.

The previous prime is 2561952762977. The next prime is 2561952763061. The reversal of 2561952763047 is 7403672591652.

It is not a de Polignac number, because 2561952763047 - 2¹⁶ = 2561952697511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561952764047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534963729 + ... + 534968517.

It is an arithmetic number, because the mean of its divisors is an integer number (108541629920).

Almost surely, 2^{2561952763047} is an apocalyptic number.

2561952763047 is a deficient number, since it is larger than the sum of its proper divisors (911379394393).

2561952763047 is a wasteful number, since it uses less digits than its factorization.

2561952763047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9223.

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 2561952763047 in words is "two trillion, five hundred sixty-one billion, nine hundred fifty-two million, seven hundred sixty-three thousand, forty-seven".