2561024635011 has 48 divisors (see below), whose sum is σ = 3757335019776. Its totient is φ = 1680756009408.

The previous prime is 2561024635007. The next prime is 2561024635079. The reversal of 2561024635011 is 1105364201652.

2561024635011 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 0 + 2 + 4 + 635 + 0 + 11 = 666.

It is not a de Polignac number, because 2561024635011 - 2² = 2561024635007 is a prime.

It is a super-2 number, since 2×2561024635011² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2561024636011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603586056 + ... + 603590298.

It is an arithmetic number, because the mean of its divisors is an integer number (78277812912).

Almost surely, 2^{2561024635011} is an apocalyptic number.

2561024635011 is a deficient number, since it is larger than the sum of its proper divisors (1196310384765).

2561024635011 is a wasteful number, since it uses less digits than its factorization.

2561024635011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152 (or 8149 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 2561024635011 its reverse (1105364201652), we get a palindrome (3666388836663).

The spelling of 2561024635011 in words is "two trillion, five hundred sixty-one billion, twenty-four million, six hundred thirty-five thousand, eleven".