252221553441 has 24 divisors (see below), whose sum is σ = 428012335296. Its totient is φ = 141102966240.

The previous prime is 252221553427. The next prime is 252221553449. The reversal of 252221553441 is 144355122252.

252221553441 is a `hidden beast` number, since 2 + 52 + 22 + 15 + 534 + 41 = 666.

It is not a de Polignac number, because 252221553441 - 2¹⁹ = 252221029153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252221553396 and 252221553405.

It is not an unprimeable number, because it can be changed into a prime (252221553449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97986885 + ... + 97989458.

It is an arithmetic number, because the mean of its divisors is an integer number (17833847304).

Almost surely, 2^252221553441 is an apocalyptic number.

It is an amenable number.

252221553441 is a deficient number, since it is larger than the sum of its proper divisors (175790781855).

252221553441 is a wasteful number, since it uses less digits than its factorization.

252221553441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195976373 (or 195976370 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 252221553441 its reverse (144355122252), we get a palindrome (396576675693).

The spelling of 252221553441 in words is "two hundred fifty-two billion, two hundred twenty-one million, five hundred fifty-three thousand, four hundred forty-one".