10161747407137 has 2 divisors, whose sum is σ = 10161747407138. Its totient is φ = 10161747407136.

The previous prime is 10161747407131. The next prime is 10161747407191. The reversal of 10161747407137 is 73170474716101.

10161747407137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8014470408256 + 2147276998881 = 2830984^2 + 1465359^2 .

It is a cyclic number.

It is not a de Polignac number, because 10161747407137 - 2³⁹ = 9611991593249 is a prime.

It is a super-2 number, since 2×10161747407137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10161747407131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5080873703568 + 5080873703569.

It is an arithmetic number, because the mean of its divisors is an integer number (5080873703569).

Almost surely, 2^{10161747407137} is an apocalyptic number.

It is an amenable number.

10161747407137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10161747407137 is an equidigital number, since it uses as much as digits as its factorization.

10161747407137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 691488, while the sum is 49.

The spelling of 10161747407137 in words is "ten trillion, one hundred sixty-one billion, seven hundred forty-seven million, four hundred seven thousand, one hundred thirty-seven".