1052481024 has 240 divisors, whose sum is σ = 3530512128. Its totient is φ = 295612416.

The previous prime is 1052480941. The next prime is 1052481043. The reversal of 1052481024 is 4201842501.

1052481024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052481024² = 2215432611760177152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2160909 + ... + 2161395.

Almost surely, 2^1052481024 is an apocalyptic number.

1052481024 is a gapful number since it is divisible by the number (14) 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 1052481024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765256064).

1052481024 is an abundant number, since it is smaller than the sum of its proper divisors (2478031104).

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

1052481024 is an equidigital number, since it uses as much as digits as its factorization.

1052481024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1052481024 is about 32441.9639356189. The cubic root of 1052481024 is about 1017.1962679884.

The spelling of 1052481024 in words is "one billion, fifty-two million, four hundred eighty-one thousand, twenty-four".