1566414949225 has 27 divisors (see below), whose sum is σ = 2259536833047. Its totient is φ = 1074083070480.

The previous prime is 1566414949223. The next prime is 1566414949249. The reversal of 1566414949225 is 5229494146651.

The square root of 1566414949225 is 1251565.

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., 563909381721 + 1002505567504 = 750939^2 + 1001252^2 .

It is not a de Polignac number, because 1566414949225 - 2¹ = 1566414949223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1566414949225.

It is not an unprimeable number, because it can be changed into a prime (1566414949223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43786896 + ... + 43822654.

Almost surely, 2^{1566414949225} is an apocalyptic number.

1566414949225 is the 1251565-th square number.

1566414949225 is the 625783-rd centered octagonal number.

It is an amenable number.

1566414949225 is a deficient number, since it is larger than the sum of its proper divisors (693121883822).

1566414949225 is an frugal number, since it uses more digits than its factorization.

1566414949225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71542 (or 35771 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The spelling of 1566414949225 in words is "one trillion, five hundred sixty-six billion, four hundred fourteen million, nine hundred forty-nine thousand, two hundred twenty-five".