2681147146157 has 2 divisors, whose sum is σ = 2681147146158. Its totient is φ = 2681147146156.

The previous prime is 2681147146133. The next prime is 2681147146177. The reversal of 2681147146157 is 7516417411862.

2681147146157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1906335251401 + 774811894756 = 1380701^2 + 880234^2 .

It is a cyclic number.

It is not a de Polignac number, because 2681147146157 - 2²⁸ = 2680878710701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2681147146099 and 2681147146108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2681147146177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1340573573078 + 1340573573079.

It is an arithmetic number, because the mean of its divisors is an integer number (1340573573079).

Almost surely, 2^{2681147146157} is an apocalyptic number.

It is an amenable number.

2681147146157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2681147146157 is an equidigital number, since it uses as much as digits as its factorization.

2681147146157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2257920, while the sum is 53.

The spelling of 2681147146157 in words is "two trillion, six hundred eighty-one billion, one hundred forty-seven million, one hundred forty-six thousand, one hundred fifty-seven".