85872252601 has 2 divisors, whose sum is σ = 85872252602. Its totient is φ = 85872252600.

The previous prime is 85872252539. The next prime is 85872252629. The reversal of 85872252601 is 10625227858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85556835001 + 315417600 = 292501^2 + 17760^2 .

It is a cyclic number.

It is not a de Polignac number, because 85872252601 - 2²⁷ = 85738034873 is a prime.

It is not a weakly prime, because it can be changed into another prime (85872252691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42936126300 + 42936126301.

It is an arithmetic number, because the mean of its divisors is an integer number (42936126301).

Almost surely, 2^85872252601 is an apocalyptic number.

It is an amenable number.

85872252601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85872252601 is an equidigital number, since it uses as much as digits as its factorization.

85872252601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 85872252601 in words is "eighty-five billion, eight hundred seventy-two million, two hundred fifty-two thousand, six hundred one".