15575289601 has 9 divisors (see below), whose sum is σ = 16012367721. Its totient is φ = 15149842992.

The previous prime is 15575289599. The next prime is 15575289643. The reversal of 15575289601 is 10698257551.

The square root of 15575289601 is 124801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12825336001 + 2749953600 = 113249^2 + 52440^2 .

It is not a de Polignac number, because 15575289601 - 2¹ = 15575289599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15575289701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4615951 + ... + 4619323.

It is an arithmetic number, because the mean of its divisors is an integer number (1779151969).

Almost surely, 2^15575289601 is an apocalyptic number.

15575289601 is the 124801-st square number.

15575289601 is the 62401-st centered octagonal number.

It is an amenable number.

15575289601 is a deficient number, since it is larger than the sum of its proper divisors (437078120).

15575289601 is an frugal number, since it uses more digits than its factorization.

15575289601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 49.

Multiplying 15575289601 by its sum of digits (49), we get a square (763189190449 = 873607²).

The spelling of 15575289601 in words is "fifteen billion, five hundred seventy-five million, two hundred eighty-nine thousand, six hundred one".