13681607091541 has 2 divisors, whose sum is σ = 13681607091542. Its totient is φ = 13681607091540.

The previous prime is 13681607091511. The next prime is 13681607091617. The reversal of 13681607091541 is 14519070618631.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12046827489316 + 1634779602225 = 3470854^2 + 1278585^2 .

It is a cyclic number.

It is not a de Polignac number, because 13681607091541 - 2¹⁵ = 13681607058773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13681607091511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6840803545770 + 6840803545771.

It is an arithmetic number, because the mean of its divisors is an integer number (6840803545771).

Almost surely, 2^{13681607091541} is an apocalyptic number.

It is an amenable number.

13681607091541 is a deficient number, since it is larger than the sum of its proper divisors (1).

13681607091541 is an equidigital number, since it uses as much as digits as its factorization.

13681607091541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 13681607091541 in words is "thirteen trillion, six hundred eighty-one billion, six hundred seven million, ninety-one thousand, five hundred forty-one".