800507201 has 6 divisors (see below), whose sum is σ = 866821590. Its totient is φ = 738929568.

The previous prime is 800507189. The next prime is 800507219. The reversal of 800507201 is 102705008.

It can be written as a sum of positive squares in 3 ways, for example, as 47059600 + 753447601 = 6860^2 + 27449^2 .

It is not a de Polignac number, because 800507201 - 2²² = 796312897 is a prime.

It is a super-3 number, since 3×800507201³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (800507231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2368196 + ... + 2368533.

It is an arithmetic number, because the mean of its divisors is an integer number (144470265).

Almost surely, 2^800507201 is an apocalyptic number.

It is an amenable number.

800507201 is a deficient number, since it is larger than the sum of its proper divisors (66314389).

800507201 is a wasteful number, since it uses less digits than its factorization.

800507201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736755 (or 4736742 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 800507201 is about 28293.2359584407. The cubic root of 800507201 is about 928.5139101515.

The spelling of 800507201 in words is "eight hundred million, five hundred seven thousand, two hundred one".