1220533305 has 64 divisors (see below), whose sum is σ = 2138572800. Its totient is φ = 592289280.

The previous prime is 1220533291. The next prime is 1220533403. The reversal of 1220533305 is 5033350221.

1220533305 = 3638² + 3639² + ... + 3727².

It is a happy number.

It is not a de Polignac number, because 1220533305 - 2⁸ = 1220533049 is a prime.

It is a super-2 number, since 2×1220533305² = 2979403097228446050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 782116 + ... + 783674.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^1220533305 is an apocalyptic number.

1220533305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1220533305 is a deficient number, since it is larger than the sum of its proper divisors (918039495).

1220533305 is a wasteful number, since it uses less digits than its factorization.

1220533305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 1220533305 is about 34936.1317978966. The cubic root of 1220533305 is about 1068.6854048029.

Adding to 1220533305 its reverse (5033350221), we get a palindrome (6253883526).

The spelling of 1220533305 in words is "one billion, two hundred twenty million, five hundred thirty-three thousand, three hundred five".