1054965585 has 16 divisors (see below), whose sum is σ = 1713139776. Its totient is φ = 554250048.

The previous prime is 1054965581. The next prime is 1054965589. The reversal of 1054965585 is 5855694501.

It is an interprime number because it is at equal distance from previous prime (1054965581) and next prime (1054965589).

It is not a de Polignac number, because 1054965585 - 2² = 1054965581 is a prime.

It is a super-2 number, since 2×1054965585² = 2225904771068784450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054965581) 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 15 ways as a sum of consecutive naturals, for example, 523854 + ... + 525863.

It is an arithmetic number, because the mean of its divisors is an integer number (107071236).

Almost surely, 2^1054965585 is an apocalyptic number.

1054965585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054965585 is a deficient number, since it is larger than the sum of its proper divisors (658174191).

1054965585 is a wasteful number, since it uses less digits than its factorization.

1054965585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049792.

The product of its (nonzero) digits is 1080000, while the sum is 48.

The square root of 1054965585 is about 32480.2337583953. The cubic root of 1054965585 is about 1017.9960607405.

The spelling of 1054965585 in words is "one billion, fifty-four million, nine hundred sixty-five thousand, five hundred eighty-five".