1053585827 has 16 divisors (see below), whose sum is σ = 1234828800. Its totient is φ = 880313280.

The previous prime is 1053585823. The next prime is 1053585847. The reversal of 1053585827 is 7285853501.

It is not a de Polignac number, because 1053585827 - 2² = 1053585823 is a prime.

It is a super-2 number, since 2×1053585827² = 2220086189710547858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1053585823) 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 15 ways as a sum of consecutive naturals, for example, 32324 + ... + 56142.

It is an arithmetic number, because the mean of its divisors is an integer number (77176800).

Almost surely, 2^1053585827 is an apocalyptic number.

1053585827 is a deficient number, since it is larger than the sum of its proper divisors (181242973).

1053585827 is an equidigital number, since it uses as much as digits as its factorization.

1053585827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23986.

The product of its (nonzero) digits is 336000, while the sum is 44.

The square root of 1053585827 is about 32458.9868449402. The cubic root of 1053585827 is about 1017.5520649004.

The spelling of 1053585827 in words is "one billion, fifty-three million, five hundred eighty-five thousand, eight hundred twenty-seven".