1610947331137 has 2 divisors, whose sum is σ = 1610947331138. Its totient is φ = 1610947331136.

The previous prime is 1610947331111. The next prime is 1610947331167. The reversal of 1610947331137 is 7311337490161.

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., 1076248555776 + 534698775361 = 1037424^2 + 731231^2 .

It is a cyclic number.

It is not a de Polignac number, because 1610947331137 - 2¹⁵ = 1610947298369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1610947331167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 805473665568 + 805473665569.

It is an arithmetic number, because the mean of its divisors is an integer number (805473665569).

Almost surely, 2^{1610947331137} is an apocalyptic number.

It is an amenable number.

1610947331137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1610947331137 is an equidigital number, since it uses as much as digits as its factorization.

1610947331137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768, while the sum is 46.

The spelling of 1610947331137 in words is "one trillion, six hundred ten billion, nine hundred forty-seven million, three hundred thirty-one thousand, one hundred thirty-seven".