2253568413721 has 9 divisors (see below), whose sum is σ = 2263321472733. Its totient is φ = 2243857222080.

The previous prime is 2253568413709. The next prime is 2253568413791. The reversal of 2253568413721 is 1273148653522.

The square root of 2253568413721 is 1501189.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 160048803721 + 2093519610000 = 400061^2 + 1446900^2 .

It is not a de Polignac number, because 2253568413721 - 2⁵ = 2253568413689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2253568413791) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 361783435 + ... + 361789663.

It is an arithmetic number, because the mean of its divisors is an integer number (251480163637).

Almost surely, 2^{2253568413721} is an apocalyptic number.

2253568413721 is the 1501189-th square number.

2253568413721 is the 750595-th centered octagonal number.

It is an amenable number.

2253568413721 is a deficient number, since it is larger than the sum of its proper divisors (9753059012).

2253568413721 is an frugal number, since it uses more digits than its factorization.

2253568413721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12940 (or 6470 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

Multiplying 2253568413721 by its sum of digits (49), we get a square (110424852272329 = 10508323²).

The spelling of 2253568413721 in words is "two trillion, two hundred fifty-three billion, five hundred sixty-eight million, four hundred thirteen thousand, seven hundred twenty-one".