1054856565 has 72 divisors (see below), whose sum is σ = 2134026648. Its totient is φ = 480614400.

The previous prime is 1054856563. The next prime is 1054856599. The reversal of 1054856565 is 5656584501.

1054856565 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 85 + 6 + 565 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 408120804 + 646735761 = 20202^2 + 25431^2 .

It is not a de Polignac number, because 1054856565 - 2¹ = 1054856563 is a prime.

It is a super-2 number, since 2×1054856565² = 2225444745447198450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1054856565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054856563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 883609 + ... + 884801.

It is an arithmetic number, because the mean of its divisors is an integer number (29639259).

Almost surely, 2^1054856565 is an apocalyptic number.

1054856565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054856565 is an abundant number, since it is smaller than the sum of its proper divisors (1079170083).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1054856565 is a wasteful number, since it uses less digits than its factorization.

1054856565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 1054856565 is about 32478.5554635670. Note that the first 3 decimals coincide. The cubic root of 1054856565 is about 1017.9609930077.

The spelling of 1054856565 in words is "one billion, fifty-four million, eight hundred fifty-six thousand, five hundred sixty-five".