1566972225 has 243 divisors, whose sum is σ = 3661416603. Its totient is φ = 638426880.

The previous prime is 1566972179. The next prime is 1566972227. The reversal of 1566972225 is 5222796651.

The square root of 1566972225 is 39585.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1449553329 + 117418896 = 38073^2 + 10836^2 .

It is not a de Polignac number, because 1566972225 - 2²⁵ = 1533417793 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 (1566972227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 54033511 + ... + 54033539.

Almost surely, 2^1566972225 is an apocalyptic number.

1566972225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1566972225 is the 39585-th square number.

1566972225 is the 19793-rd centered octagonal number.

It is an amenable number.

1566972225 is an abundant number, since it is smaller than the sum of its proper divisors (2094444378).

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

1566972225 is a wasteful number, since it uses less digits than its factorization.

1566972225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The cubic root of 1566972225 is about 1161.5032593980.

The spelling of 1566972225 in words is "one billion, five hundred sixty-six million, nine hundred seventy-two thousand, two hundred twenty-five".