85045007129 has 2 divisors, whose sum is σ = 85045007130. Its totient is φ = 85045007128.

The previous prime is 85045007123. The next prime is 85045007197. The reversal of 85045007129 is 92170054058.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52879302025 + 32165705104 = 229955^2 + 179348^2 .

It is a cyclic number.

It is not a de Polignac number, because 85045007129 - 2²⁸ = 84776571673 is a prime.

It is not a weakly prime, because it can be changed into another prime (85045007123) 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, 42522503564 + 42522503565.

It is an arithmetic number, because the mean of its divisors is an integer number (42522503565).

Almost surely, 2^85045007129 is an apocalyptic number.

It is an amenable number.

85045007129 is a deficient number, since it is larger than the sum of its proper divisors (1).

85045007129 is an equidigital number, since it uses as much as digits as its factorization.

85045007129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 85045007129 in words is "eighty-five billion, forty-five million, seven thousand, one hundred twenty-nine".