15262872849 has 135 divisors (see below), whose sum is σ = 27782778177. Its totient is φ = 8325809856.

The previous prime is 15262872829. The next prime is 15262872883. The reversal of 15262872849 is 94827826251.

The square root of 15262872849 is 123543.

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

15262872849 is a `hidden beast` number, since 1 + 5 + 2 + 628 + 7 + 2 + 8 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6092895249 + 9169977600 = 78057^2 + 95760^2 .

It is not a de Polignac number, because 15262872849 - 2¹³ = 15262864657 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 15262872795 and 15262872804.

It is not an unprimeable number, because it can be changed into a prime (15262872829) 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 134 ways as a sum of consecutive naturals, for example, 287978707 + ... + 287978759.

Almost surely, 2^15262872849 is an apocalyptic number.

15262872849 is the 123543-rd square number.

15262872849 is the 61772-nd centered octagonal number.

It is an amenable number.

15262872849 is a deficient number, since it is larger than the sum of its proper divisors (12519905328).

15262872849 is an frugal number, since it uses more digits than its factorization.

15262872849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 100 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 15262872849 in words is "fifteen billion, two hundred sixty-two million, eight hundred seventy-two thousand, eight hundred forty-nine".