6541890401313 has 48 divisors (see below), whose sum is σ = 9806142528000. Its totient is φ = 4198165873920.

The previous prime is 6541890401297. The next prime is 6541890401323. The reversal of 6541890401313 is 3131040981456.

6541890401313 is a `hidden beast` number, since 6 + 54 + 189 + 0 + 401 + 3 + 13 = 666.

6541890401313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6541890401313 - 2⁴ = 6541890401297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6541890401323) 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, 39742606 + ... + 39906872.

It is an arithmetic number, because the mean of its divisors is an integer number (204294636000).

Almost surely, 2^{6541890401313} is an apocalyptic number.

It is an amenable number.

6541890401313 is a deficient number, since it is larger than the sum of its proper divisors (3264252126687).

6541890401313 is a wasteful number, since it uses less digits than its factorization.

6541890401313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165062 (or 165059 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6541890401313 in words is "six trillion, five hundred forty-one billion, eight hundred ninety million, four hundred one thousand, three hundred thirteen".