15280668225 has 135 divisors (see below), whose sum is σ = 29451767961. Its totient is φ = 7832246400.

The previous prime is 15280668203. The next prime is 15280668251. The reversal of 15280668225 is 52286608251.

It is a happy number.

The square root of 15280668225 is 123615.

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 6431879601 + 8848788624 = 80199^2 + 94068^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 15280668225 - 2⁷ = 15280668097 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 an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 228069642 + ... + 228069708.

Almost surely, 2^15280668225 is an apocalyptic number.

15280668225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15280668225 is the 123615-th square number.

15280668225 is the 61808-th centered octagonal number.

It is an amenable number.

15280668225 is a deficient number, since it is larger than the sum of its proper divisors (14171099736).

15280668225 is an frugal number, since it uses more digits than its factorization.

15280668225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 15280668225 in words is "fifteen billion, two hundred eighty million, six hundred sixty-eight thousand, two hundred twenty-five".