13953549348025 has 27 divisors (see below), whose sum is σ = 20127471607119. Its totient is φ = 9568058473680.

The previous prime is 13953549347993. The next prime is 13953549348083. The reversal of 13953549348025 is 52084394535931.

It is a happy number.

The square root of 13953549348025 is 3735445.

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

It can be written as a sum of positive squares in only one way, i.e., 5023277765289 + 8930271582736 = 2241267^2 + 2988356^2 .

It is not a de Polignac number, because 13953549348025 - 2⁵ = 13953549347993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130687212 + ... + 130793938.

Almost surely, 2^{13953549348025} is an apocalyptic number.

13953549348025 is the 3735445-th square number.

13953549348025 is the 1867723-rd centered octagonal number.

It is an amenable number.

13953549348025 is a deficient number, since it is larger than the sum of its proper divisors (6173922259094).

13953549348025 is an frugal number, since it uses more digits than its factorization.

13953549348025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213478 (or 106739 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 61.

The spelling of 13953549348025 in words is "thirteen trillion, nine hundred fifty-three billion, five hundred forty-nine million, three hundred forty-eight thousand, twenty-five".