137108805471061 has 2 divisors, whose sum is σ = 137108805471062. Its totient is φ = 137108805471060.

The previous prime is 137108805470953. The next prime is 137108805471067. The reversal of 137108805471061 is 160174508801731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132837841780900 + 4270963690161 = 11525530^2 + 2066631^2 .

It is a cyclic number.

It is not a de Polignac number, because 137108805471061 - 2²⁵ = 137108771916629 is a prime.

It is a super-2 number, since 2×137108805471061² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137108805471067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68554402735530 + 68554402735531.

It is an arithmetic number, because the mean of its divisors is an integer number (68554402735531).

Almost surely, 2^{137108805471061} is an apocalyptic number.

It is an amenable number.

137108805471061 is a deficient number, since it is larger than the sum of its proper divisors (1).

137108805471061 is an equidigital number, since it uses as much as digits as its factorization.

137108805471061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1128960, while the sum is 52.

The spelling of 137108805471061 in words is "one hundred thirty-seven trillion, one hundred eight billion, eight hundred five million, four hundred seventy-one thousand, sixty-one".