817253801 has 48 divisors (see below), whose sum is σ = 1093042944. Its totient is φ = 603542016.

The previous prime is 817253771. The next prime is 817253831. The reversal of 817253801 is 108352718.

817253801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (817253771) and next prime (817253831).

It is not a de Polignac number, because 817253801 - 2¹⁸ = 816991657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (817253831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1764896 + ... + 1765358.

It is an arithmetic number, because the mean of its divisors is an integer number (22771728).

Almost surely, 2^817253801 is an apocalyptic number.

It is an amenable number.

817253801 is a deficient number, since it is larger than the sum of its proper divisors (275789143).

817253801 is a wasteful number, since it uses less digits than its factorization.

817253801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 817253801 is about 28587.6511976762. The cubic root of 817253801 is about 934.9441094448.

The spelling of 817253801 in words is "eight hundred seventeen million, two hundred fifty-three thousand, eight hundred one".