1564200225 has 72 divisors (see below), whose sum is σ = 3280123392. Its totient is φ = 697593600.

The previous prime is 1564200223. The next prime is 1564200229. The reversal of 1564200225 is 5220024651.

1564200225 is a `hidden beast` number, since 15 + 6 + 420 + 0 + 225 = 666.

It is not a de Polignac number, because 1564200225 - 2¹ = 1564200223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1564200223) 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 71 ways as a sum of consecutive naturals, for example, 52464 + ... + 76686.

Almost surely, 2^1564200225 is an apocalyptic number.

1564200225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1564200225 is an abundant number, since it is smaller than the sum of its proper divisors (1715923167).

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

1564200225 is a wasteful number, since it uses less digits than its factorization.

1564200225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24287 (or 24279 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1564200225 is about 39549.9712389276. The cubic root of 1564200225 is about 1160.8179489180.

Adding to 1564200225 its reverse (5220024651), we get a palindrome (6784224876).

The spelling of 1564200225 in words is "one billion, five hundred sixty-four million, two hundred thousand, two hundred twenty-five".