801253205217 has 24 divisors (see below), whose sum is σ = 1207952199168. Its totient is φ = 510831446400.

The previous prime is 801253205183. The next prime is 801253205257. The reversal of 801253205217 is 712502352108.

801253205217 is a `hidden beast` number, since 8 + 0 + 125 + 3 + 2 + 0 + 521 + 7 = 666.

801253205217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 801253205217 - 2¹¹ = 801253203169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (801253205257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519792 + ... + 1368462.

It is an arithmetic number, because the mean of its divisors is an integer number (50331341632).

Almost surely, 2^801253205217 is an apocalyptic number.

It is an amenable number.

801253205217 is a deficient number, since it is larger than the sum of its proper divisors (406698993951).

801253205217 is a wasteful number, since it uses less digits than its factorization.

801253205217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853261 (or 853258 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 801253205217 in words is "eight hundred one billion, two hundred fifty-three million, two hundred five thousand, two hundred seventeen".