15245143677009 has 81 divisors (see below), whose sum is σ = 23377936353499. Its totient is φ = 9572591915040.

The previous prime is 15245143676941. The next prime is 15245143677011. The reversal of 15245143677009 is 90077634154251.

The square root of 15245143677009 is 3904503.

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

15245143677009 is a `hidden beast` number, since 1 + 5 + 24 + 514 + 36 + 7 + 70 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7392661913025 + 7852481763984 = 2718945^2 + 2802228^2 .

It is not a de Polignac number, because 15245143677009 - 2²³ = 15245135288401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15245143677809) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19128159799 + ... + 19128160595.

Almost surely, 2^{15245143677009} is an apocalyptic number.

15245143677009 is the 3904503-rd square number.

15245143677009 is the 1952252-nd centered octagonal number.

It is an amenable number.

15245143677009 is a deficient number, since it is larger than the sum of its proper divisors (8132792676490).

15245143677009 is an frugal number, since it uses more digits than its factorization.

15245143677009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 15245143677009 in words is "fifteen trillion, two hundred forty-five billion, one hundred forty-three million, six hundred seventy-seven thousand, nine".