85921628201 has 2 divisors, whose sum is σ = 85921628202. Its totient is φ = 85921628200.

The previous prime is 85921628101. The next prime is 85921628267. The reversal of 85921628201 is 10282612958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74625126976 + 11296501225 = 273176^2 + 106285^2 .

It is a cyclic number.

It is not a de Polignac number, because 85921628201 - 2¹⁸ = 85921366057 is a prime.

It is not a weakly prime, because it can be changed into another prime (85921628281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42960814100 + 42960814101.

It is an arithmetic number, because the mean of its divisors is an integer number (42960814101).

Almost surely, 2^85921628201 is an apocalyptic number.

It is an amenable number.

85921628201 is a deficient number, since it is larger than the sum of its proper divisors (1).

85921628201 is an equidigital number, since it uses as much as digits as its factorization.

85921628201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 85921628201 in words is "eighty-five billion, nine hundred twenty-one million, six hundred twenty-eight thousand, two hundred one".