45202319153289 has 27 divisors (see below), whose sum is σ = 65948069265429. Its totient is φ = 29835169639200.

The previous prime is 45202319153287. The next prime is 45202319153291. The reversal of 45202319153289 is 98235191320254.

The square root of 45202319153289 is 6723267.

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

45202319153289 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 23 + 1 + 9 + 1 + 532 + 89 = 666.

It is an interprime number because it is at equal distance from previous prime (45202319153287) and next prime (45202319153291).

It can be written as a sum of positive squares in 4 ways, for example, as 21348863153289 + 23853456000000 = 4620483^2 + 4884000^2 .

It is not a de Polignac number, because 45202319153289 - 2¹ = 45202319153287 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45202319153287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2037138807 + ... + 2037160995.

Almost surely, 2^{45202319153289} is an apocalyptic number.

45202319153289 is the 6723267-th square number.

45202319153289 is the 3361634-th centered octagonal number.

It is an amenable number.

45202319153289 is a deficient number, since it is larger than the sum of its proper divisors (20745750112140).

45202319153289 is an frugal number, since it uses more digits than its factorization.

45202319153289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44586 (or 22293 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 45202319153289 in words is "forty-five trillion, two hundred two billion, three hundred nineteen million, one hundred fifty-three thousand, two hundred eighty-nine".