1054285752 has 128 divisors (see below), whose sum is σ = 2924812800. Its totient is φ = 314675712.

The previous prime is 1054285751. The next prime is 1054285759. The reversal of 1054285752 is 2575824501.

It is a super-2 number, since 2×1054285752² = 2223036893740411008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1054285752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054285751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1702899 + ... + 1703517.

It is an arithmetic number, because the mean of its divisors is an integer number (22850100).

Almost surely, 2^1054285752 is an apocalyptic number.

1054285752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054285752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462406400).

1054285752 is an abundant number, since it is smaller than the sum of its proper divisors (1870527048).

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

1054285752 is a wasteful number, since it uses less digits than its factorization.

1054285752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The square root of 1054285752 is about 32469.7667376900. The cubic root of 1054285752 is about 1017.7773439603. Note that the first 3 decimals are identical.

The spelling of 1054285752 in words is "one billion, fifty-four million, two hundred eighty-five thousand, seven hundred fifty-two".