1053085024 has 48 divisors (see below), whose sum is σ = 2112642000. Its totient is φ = 516634624.

The previous prime is 1053085001. The next prime is 1053085031. The reversal of 1053085024 is 4205803501.

1053085024 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 2×1053085024² = 2217976135546161152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053084983 and 1053085001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388827 + ... + 391525.

It is an arithmetic number, because the mean of its divisors is an integer number (44013375).

Almost surely, 2^1053085024 is an apocalyptic number.

It is an amenable number.

1053085024 is an abundant number, since it is smaller than the sum of its proper divisors (1059556976).

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

1053085024 is a wasteful number, since it uses less digits than its factorization.

1053085024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1053085024 is about 32451.2715313283. The cubic root of 1053085024 is about 1017.3908143479.

Adding to 1053085024 its reverse (4205803501), we get a palindrome (5258888525).

The spelling of 1053085024 in words is "one billion, fifty-three million, eighty-five thousand, twenty-four".