13548727201 has 27 divisors (see below), whose sum is σ = 14841058777. Its totient is φ = 12366229760.

The previous prime is 13548727193. The next prime is 13548727249. The reversal of 13548727201 is 10272784531.

The square root of 13548727201 is 116399.

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 954501025 + 12594226176 = 30895^2 + 112224^2 .

It is not a de Polignac number, because 13548727201 - 2³ = 13548727193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13548727601) 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, 81130020 + ... + 81130186.

Almost surely, 2^13548727201 is an apocalyptic number.

13548727201 is the 116399-th square number.

13548727201 is the 58200-th centered octagonal number.

It is an amenable number.

13548727201 is a deficient number, since it is larger than the sum of its proper divisors (1292331576).

13548727201 is an frugal number, since it uses more digits than its factorization.

13548727201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 13548727201 in words is "thirteen billion, five hundred forty-eight million, seven hundred twenty-seven thousand, two hundred one".