13903947225 has 81 divisors (see below), whose sum is σ = 28995213663. Its totient is φ = 6350430240.

The previous prime is 13903947217. The next prime is 13903947227. The reversal of 13903947225 is 52274930931.

The square root of 13903947225 is 117915.

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

13903947225 is a `hidden beast` number, since 1 + 39 + 0 + 394 + 7 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5005421001 + 8898526224 = 70749^2 + 94332^2 .

It is not a de Polignac number, because 13903947225 - 2³ = 13903947217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13903947227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12380514 + ... + 12381636.

Almost surely, 2^13903947225 is an apocalyptic number.

13903947225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13903947225 is the 117915-th square number.

13903947225 is the 58958-th centered octagonal number.

It is an amenable number.

13903947225 is an abundant number, since it is smaller than the sum of its proper divisors (15091266438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13903947225 is an equidigital number, since it uses as much as digits as its factorization.

13903947225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13903947225 in words is "thirteen billion, nine hundred three million, nine hundred forty-seven thousand, two hundred twenty-five".