15683805225 has 225 divisors, whose sum is σ = 33406649815. Its totient is φ = 7273648800.

The previous prime is 15683805223. The next prime is 15683805239. The reversal of 15683805225 is 52250838651.

The square root of 15683805225 is 125235.

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

15683805225 is a `hidden beast` number, since 1 + 568 + 3 + 80 + 5 + 2 + 2 + 5 = 666.

15683805225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5646169881 + 10037635344 = 75141^2 + 100188^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 15683805225 - 2¹ = 15683805223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (15683805223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 681904564 + ... + 681904586.

Almost surely, 2^15683805225 is an apocalyptic number.

15683805225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15683805225 is the 125235-th square number.

15683805225 is the 62618-th centered octagonal number.

It is an amenable number.

15683805225 is an abundant number, since it is smaller than the sum of its proper divisors (17722844590).

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

15683805225 is an frugal number, since it uses more digits than its factorization.

15683805225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 15683805225 in words is "fifteen billion, six hundred eighty-three million, eight hundred five thousand, two hundred twenty-five".