2560133513641 has 32 divisors (see below), whose sum is σ = 3068135884800. Its totient is φ = 2108725534080.

The previous prime is 2560133513591. The next prime is 2560133513657. The reversal of 2560133513641 is 1463153310652.

It is a de Polignac number, because none of the positive numbers 2^k-2560133513641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2560133513594 and 2560133513603.

It is not an unprimeable number, because it can be changed into a prime (2560133513141) 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, 36300885 + ... + 36371341.

It is an arithmetic number, because the mean of its divisors is an integer number (95879246400).

Almost surely, 2^{2560133513641} is an apocalyptic number.

It is an amenable number.

2560133513641 is a deficient number, since it is larger than the sum of its proper divisors (508002371159).

2560133513641 is a wasteful number, since it uses less digits than its factorization.

2560133513641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78069.

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 2560133513641 in words is "two trillion, five hundred sixty billion, one hundred thirty-three million, five hundred thirteen thousand, six hundred forty-one".