1613077331137 has 2 divisors, whose sum is σ = 1613077331138. Its totient is φ = 1613077331136.

The previous prime is 1613077331057. The next prime is 1613077331153. The reversal of 1613077331137 is 7311337703161.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1318636525761 + 294440805376 = 1148319^2 + 542624^2 .

It is a cyclic number.

It is not a de Polignac number, because 1613077331137 - 2¹¹ = 1613077329089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1613077331093 and 1613077331102.

It is not a weakly prime, because it can be changed into another prime (1613077335137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 806538665568 + 806538665569.

It is an arithmetic number, because the mean of its divisors is an integer number (806538665569).

Almost surely, 2^{1613077331137} is an apocalyptic number.

It is an amenable number.

1613077331137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1613077331137 is an equidigital number, since it uses as much as digits as its factorization.

1613077331137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 166698, while the sum is 43.

The spelling of 1613077331137 in words is "one trillion, six hundred thirteen billion, seventy-seven million, three hundred thirty-one thousand, one hundred thirty-seven".