287895954445009 has 27 divisors (see below), whose sum is σ = 296804335458267. Its totient is φ = 279249436746288.

The previous prime is 287895954444961. The next prime is 287895954445031. The reversal of 287895954445009 is 900544459598782.

The square root of 287895954445009 is 16967497.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 257613253612225 + 30282700832784 = 16050335^2 + 5502972^2 .

It is not a de Polignac number, because 287895954445009 - 2²⁵ = 287895920890577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 287895954445009.

It is not an unprimeable number, because it can be changed into a prime (287895954442009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 313270896652 + ... + 313270897570.

It is an arithmetic number, because the mean of its divisors is an integer number (10992753165121).

Almost surely, 2^{287895954445009} is an apocalyptic number.

287895954445009 is the 16967497-th square number.

287895954445009 is the 8483749-th centered octagonal number.

It is an amenable number.

287895954445009 is a deficient number, since it is larger than the sum of its proper divisors (8908381013258).

287895954445009 is an frugal number, since it uses more digits than its factorization.

287895954445009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 5225472000, while the sum is 79.

The spelling of 287895954445009 in words is "two hundred eighty-seven trillion, eight hundred ninety-five billion, nine hundred fifty-four million, four hundred forty-five thousand, nine".