221313003025 has 12 divisors (see below), whose sum is σ = 274447421964. Its totient is φ = 177037952000.

The previous prime is 221313003013. The next prime is 221313003049. The reversal of 221313003025 is 520300313122.

It can be written as a sum of positive squares in 6 ways, for example, as 13872835089 + 207440167936 = 117783^2 + 455456^2 .

It is not a de Polignac number, because 221313003025 - 2²³ = 221304614417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221313002987 and 221313003005.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 60045 + ... + 668005.

It is an arithmetic number, because the mean of its divisors is an integer number (22870618497).

Almost surely, 2^221313003025 is an apocalyptic number.

221313003025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221313003025 is a deficient number, since it is larger than the sum of its proper divisors (53134418939).

221313003025 is a wasteful number, since it uses less digits than its factorization.

221313003025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622532 (or 622527 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 221313003025 its reverse (520300313122), we get a palindrome (741613316147).

The spelling of 221313003025 in words is "two hundred twenty-one billion, three hundred thirteen million, three thousand, twenty-five".