2252253003345 has 96 divisors (see below), whose sum is σ = 4352474580480. Its totient is φ = 1070702530560.

The previous prime is 2252253003281. The next prime is 2252253003347. The reversal of 2252253003345 is 5433003522522.

2252253003345 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 2 + 5 + 300 + 3 + 345 = 666.

2252253003345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2252253003345 - 2⁶ = 2252253003281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2252253003347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49498005 + ... + 49543485.

It is an arithmetic number, because the mean of its divisors is an integer number (45338276880).

Almost surely, 2^{2252253003345} is an apocalyptic number.

It is an amenable number.

2252253003345 is a deficient number, since it is larger than the sum of its proper divisors (2100221577135).

2252253003345 is a wasteful number, since it uses less digits than its factorization.

2252253003345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48935 (or 48932 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 2252253003345 its reverse (5433003522522), we get a palindrome (7685256525867).

The spelling of 2252253003345 in words is "two trillion, two hundred fifty-two billion, two hundred fifty-three million, three thousand, three hundred forty-five".