221573313 has 20 divisors (see below), whose sum is σ = 356454868. Its totient is φ = 136352160.

The previous prime is 221573293. The next prime is 221573351. The reversal of 221573313 is 313375122.

It can be written as a sum of positive squares in 2 ways, for example, as 111260304 + 110313009 = 10548^2 + 10503^2 .

It is not a de Polignac number, because 221573313 - 2⁶ = 221573249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221573413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104158 + ... + 106263.

Almost surely, 2^221573313 is an apocalyptic number.

It is an amenable number.

221573313 is a deficient number, since it is larger than the sum of its proper divisors (134881555).

221573313 is a wasteful number, since it uses less digits than its factorization.

221573313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210446 (or 210437 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 221573313 is about 14885.3388607717. The cubic root of 221573313 is about 605.1167163201.

The spelling of 221573313 in words is "two hundred twenty-one million, five hundred seventy-three thousand, three hundred thirteen".