6587261130681 has 48 divisors (see below), whose sum is σ = 12183388833408. Its totient is φ = 3329468582400.

The previous prime is 6587261130679. The next prime is 6587261130691. The reversal of 6587261130681 is 1860311627856.

It is a happy number.

6587261130681 is a `hidden beast` number, since 6 + 587 + 26 + 1 + 1 + 30 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 6587261130681 - 2¹ = 6587261130679 is a prime.

It is a super-2 number, since 2×6587261130681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6587261130641) 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, 128426080 + ... + 128477361.

It is an arithmetic number, because the mean of its divisors is an integer number (253820600696).

Almost surely, 2^{6587261130681} is an apocalyptic number.

It is an amenable number.

6587261130681 is a deficient number, since it is larger than the sum of its proper divisors (5596127702727).

6587261130681 is a wasteful number, since it uses less digits than its factorization.

6587261130681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256903502 (or 256903499 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 6587261130681 in words is "six trillion, five hundred eighty-seven billion, two hundred sixty-one million, one hundred thirty thousand, six hundred eighty-one".