1005505053 has 64 divisors (see below), whose sum is σ = 1642291200. Its totient is φ = 534885120.

The previous prime is 1005505049. The next prime is 1005505063. The reversal of 1005505053 is 3505055001.

It is not a de Polignac number, because 1005505053 - 2² = 1005505049 is a prime.

It is a super-2 number, since 2×1005505053² = 2022080823217065618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005505003) 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 63 ways as a sum of consecutive naturals, for example, 3737803 + ... + 3738071.

It is an arithmetic number, because the mean of its divisors is an integer number (25660800).

Almost surely, 2^1005505053 is an apocalyptic number.

It is an amenable number.

1005505053 is a deficient number, since it is larger than the sum of its proper divisors (636786147).

1005505053 is a wasteful number, since it uses less digits than its factorization.

1005505053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482.

The product of its (nonzero) digits is 1875, while the sum is 24.

The square root of 1005505053 is about 31709.6996674519. The cubic root of 1005505053 is about 1001.8316606376.

The spelling of 1005505053 in words is "one billion, five million, five hundred five thousand, fifty-three".