83052016046137 has 2 divisors, whose sum is σ = 83052016046138. Its totient is φ = 83052016046136.

The previous prime is 83052016046123. The next prime is 83052016046147. The reversal of 83052016046137 is 73164061025038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68983057804816 + 14068958241321 = 8305604^2 + 3750861^2 .

It is a cyclic number.

It is not a de Polignac number, because 83052016046137 - 2⁴³ = 74255923023929 is a prime.

It is not a weakly prime, because it can be changed into another prime (83052016046107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41526008023068 + 41526008023069.

It is an arithmetic number, because the mean of its divisors is an integer number (41526008023069).

Almost surely, 2^{83052016046137} is an apocalyptic number.

It is an amenable number.

83052016046137 is a deficient number, since it is larger than the sum of its proper divisors (1).

83052016046137 is an equidigital number, since it uses as much as digits as its factorization.

83052016046137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 83052016046137 in words is "eighty-three trillion, fifty-two billion, sixteen million, forty-six thousand, one hundred thirty-seven".