1005505553 has 24 divisors (see below), whose sum is σ = 1143325440. Its totient is φ = 882722880.

The previous prime is 1005505549. The next prime is 1005505573. The reversal of 1005505553 is 3555055001.

It is not a de Polignac number, because 1005505553 - 2² = 1005505549 is a prime.

It is a super-2 number, since 2×1005505553² = 2022082834227671618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005505573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307475 + ... + 310727.

It is an arithmetic number, because the mean of its divisors is an integer number (47638560).

Almost surely, 2^1005505553 is an apocalyptic number.

1005505553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005505553 is a deficient number, since it is larger than the sum of its proper divisors (137819887).

1005505553 is a wasteful number, since it uses less digits than its factorization.

1005505553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 9375, while the sum is 29.

The square root of 1005505553 is about 31709.7075514739. The cubic root of 1005505553 is about 1001.8318266953.

The spelling of 1005505553 in words is "one billion, five million, five hundred five thousand, five hundred fifty-three".