1353553313 has 12 divisors (see below), whose sum is σ = 1582545492. Its totient is φ = 1154291040.

The previous prime is 1353553309. The next prime is 1353553343. The reversal of 1353553313 is 3133553531.

It can be written as a sum of positive squares in 2 ways, for example, as 933180304 + 420373009 = 30548^2 + 20503^2 .

It is not a de Polignac number, because 1353553313 - 2² = 1353553309 is a prime.

It is a super-2 number, since 2×1353553313² = 3664213142266551938, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1353553313.

It is not an unprimeable number, because it can be changed into a prime (1353553303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60458 + ... + 79763.

It is an arithmetic number, because the mean of its divisors is an integer number (131878791).

Almost surely, 2^1353553313 is an apocalyptic number.

It is an amenable number.

1353553313 is a deficient number, since it is larger than the sum of its proper divisors (228992179).

1353553313 is a wasteful number, since it uses less digits than its factorization.

1353553313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140432 (or 140425 counting only the distinct ones).

The product of its digits is 30375, while the sum is 32.

The square root of 1353553313 is about 36790.6688305608. The cubic root of 1353553313 is about 1106.1782680121.

The spelling of 1353553313 in words is "one billion, three hundred fifty-three million, five hundred fifty-three thousand, three hundred thirteen".