1353100224 has 112 divisors (see below), whose sum is σ = 4102331648. Its totient is φ = 385579008.

The previous prime is 1353100211. The next prime is 1353100247. The reversal of 1353100224 is 4220013531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1353100224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613107 + ... + 615309.

Almost surely, 2^1353100224 is an apocalyptic number.

1353100224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051165824).

1353100224 is an abundant number, since it is smaller than the sum of its proper divisors (2749231424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1353100224 is a wasteful number, since it uses less digits than its factorization.

1353100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1353100224 is about 36784.5106532627. The cubic root of 1353100224 is about 1106.0548267127.

Adding to 1353100224 its reverse (4220013531), we get a palindrome (5573113755).

The spelling of 1353100224 in words is "one billion, three hundred fifty-three million, one hundred thousand, two hundred twenty-four".