1353120441 has 16 divisors (see below), whose sum is σ = 1828833600. Its totient is φ = 889818048.

The previous prime is 1353120413. The next prime is 1353120443. The reversal of 1353120441 is 1440213531.

It is a happy number.

It is not a de Polignac number, because 1353120441 - 2¹⁷ = 1352989369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1353120443) 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 15 ways as a sum of consecutive naturals, for example, 65115 + ... + 83343.

It is an arithmetic number, because the mean of its divisors is an integer number (114302100).

Almost surely, 2^1353120441 is an apocalyptic number.

It is an amenable number.

1353120441 is a deficient number, since it is larger than the sum of its proper divisors (475713159).

1353120441 is a wasteful number, since it uses less digits than its factorization.

1353120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18568.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1353120441 is about 36784.7854554026. The cubic root of 1353120441 is about 1106.0603352967.

Adding to 1353120441 its reverse (1440213531), we get a palindrome (2793333972).

The spelling of 1353120441 in words is "one billion, three hundred fifty-three million, one hundred twenty thousand, four hundred forty-one".