85871552801 has 2 divisors, whose sum is σ = 85871552802. Its totient is φ = 85871552800.

The previous prime is 85871552791. The next prime is 85871552807. The reversal of 85871552801 is 10825517858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48421562401 + 37449990400 = 220049^2 + 193520^2 .

It is a cyclic number.

It is not a de Polignac number, because 85871552801 - 2⁶ = 85871552737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85871552801.

It is not a weakly prime, because it can be changed into another prime (85871552807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42935776400 + 42935776401.

It is an arithmetic number, because the mean of its divisors is an integer number (42935776401).

Almost surely, 2^85871552801 is an apocalyptic number.

It is an amenable number.

85871552801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85871552801 is an equidigital number, since it uses as much as digits as its factorization.

85871552801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896000, while the sum is 50.

The spelling of 85871552801 in words is "eighty-five billion, eight hundred seventy-one million, five hundred fifty-two thousand, eight hundred one".