1053883305 has 40 divisors (see below), whose sum is σ = 1913155200. Its totient is φ = 554939424.

The previous prime is 1053883297. The next prime is 1053883307. The reversal of 1053883305 is 5033883501.

1053883305 is a `hidden beast` number, since 10 + 538 + 83 + 30 + 5 = 666.

It is not a de Polignac number, because 1053883305 - 2³ = 1053883297 is a prime.

It is a super-2 number, since 2×1053883305² = 2221340041115446050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053883305.

It is not an unprimeable number, because it can be changed into a prime (1053883307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15526 + ... + 48464.

It is an arithmetic number, because the mean of its divisors is an integer number (47828880).

Almost surely, 2^1053883305 is an apocalyptic number.

1053883305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053883305 is a deficient number, since it is larger than the sum of its proper divisors (859271895).

1053883305 is an equidigital number, since it uses as much as digits as its factorization.

1053883305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33035 (or 33026 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1053883305 is about 32463.5688888329. The cubic root of 1053883305 is about 1017.6478238666.

The spelling of 1053883305 in words is "one billion, fifty-three million, eight hundred eighty-three thousand, three hundred five".