252256221 has 32 divisors (see below), whose sum is σ = 429977600. Its totient is φ = 143175600.

The previous prime is 252256219. The next prime is 252256223. The reversal of 252256221 is 122652252.

It is an interprime number because it is at equal distance from previous prime (252256219) and next prime (252256223).

It is not a de Polignac number, because 252256221 - 2¹ = 252256219 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 a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252256223) 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 31 ways as a sum of consecutive naturals, for example, 24120 + ... + 32958.

It is an arithmetic number, because the mean of its divisors is an integer number (13436800).

Almost surely, 2^252256221 is an apocalyptic number.

252256221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252256221 is a deficient number, since it is larger than the sum of its proper divisors (177721379).

252256221 is a wasteful number, since it uses less digits than its factorization.

252256221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 9000 counting only the distinct ones).

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

The square root of 252256221 is about 15882.5760190216. The cubic root of 252256221 is about 631.8499592081.

The spelling of 252256221 in words is "two hundred fifty-two million, two hundred fifty-six thousand, two hundred twenty-one".