86725948201 has 2 divisors, whose sum is σ = 86725948202. Its totient is φ = 86725948200.

The previous prime is 86725948139. The next prime is 86725948213. The reversal of 86725948201 is 10284952768.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45130753600 + 41595194601 = 212440^2 + 203949^2 .

It is a cyclic number.

It is not a de Polignac number, because 86725948201 - 2¹³ = 86725940009 is a prime.

It is not a weakly prime, because it can be changed into another prime (86725948241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43362974100 + 43362974101.

It is an arithmetic number, because the mean of its divisors is an integer number (43362974101).

Almost surely, 2^86725948201 is an apocalyptic number.

It is an amenable number.

86725948201 is a deficient number, since it is larger than the sum of its proper divisors (1).

86725948201 is an equidigital number, since it uses as much as digits as its factorization.

86725948201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 86725948201 in words is "eighty-six billion, seven hundred twenty-five million, nine hundred forty-eight thousand, two hundred one".