13725528401 has 16 divisors (see below), whose sum is σ = 15060087504. Its totient is φ = 12432559104.

The previous prime is 13725528379. The next prime is 13725528409. The reversal of 13725528401 is 10482552731.

It can be written as a sum of positive squares in 8 ways, for example, as 1404750400 + 12320778001 = 37480^2 + 110999^2 .

It is a cyclic number.

It is not a de Polignac number, because 13725528401 - 2⁶ = 13725528337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13725528409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150245 + ... + 223661.

It is an arithmetic number, because the mean of its divisors is an integer number (941255469).

Almost surely, 2^13725528401 is an apocalyptic number.

It is an amenable number.

13725528401 is a deficient number, since it is larger than the sum of its proper divisors (1334559103).

13725528401 is a wasteful number, since it uses less digits than its factorization.

13725528401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73700.

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 13725528401 in words is "thirteen billion, seven hundred twenty-five million, five hundred twenty-eight thousand, four hundred one".