1305052224 has 56 divisors (see below), whose sum is σ = 3946233408. Its totient is φ = 372871680.

The previous prime is 1305052187. The next prime is 1305052241. The reversal of 1305052224 is 4222505031.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1305052224² = 3406322614734692352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1305052194 and 1305052203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484167 + ... + 486854.

Almost surely, 2^1305052224 is an apocalyptic number.

1305052224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1305052224 is an abundant number, since it is smaller than the sum of its proper divisors (2641181184).

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

1305052224 is an equidigital number, since it uses as much as digits as its factorization.

1305052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971043 (or 971033 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1305052224 is about 36125.5065570021. The cubic root of 1305052224 is about 1092.8048916976.

Adding to 1305052224 its reverse (4222505031), we get a palindrome (5527557255).

The spelling of 1305052224 in words is "one billion, three hundred five million, fifty-two thousand, two hundred twenty-four".