252233968441 has 27 divisors (see below), whose sum is σ = 317779173711. Its totient is φ = 199533572784.

The previous prime is 252233968381. The next prime is 252233968477. The reversal of 252233968441 is 144869332252.

The square root of 252233968441 is 502229.

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., 37312717225 + 214921251216 = 193165^2 + 463596^2 .

It is not a de Polignac number, because 252233968441 - 2²¹ = 252231871289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252233968541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45700080 + ... + 45705598.

Almost surely, 2^252233968441 is an apocalyptic number.

252233968441 is the 502229-th square number.

252233968441 is the 251115-th centered octagonal number.

It is an amenable number.

252233968441 is a deficient number, since it is larger than the sum of its proper divisors (65545205270).

252233968441 is an frugal number, since it uses more digits than its factorization.

252233968441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11078 (or 5539 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

Multiplying 252233968441 by its sum of digits (49), we get a square (12359464453609 = 3515603²).

252233968441 divided by its sum of digits (49) gives a square (5147632009 = 71747²).

The spelling of 252233968441 in words is "two hundred fifty-two billion, two hundred thirty-three million, nine hundred sixty-eight thousand, four hundred forty-one".