1052533524 has 144 divisors (see below), whose sum is σ = 2969326080. Its totient is φ = 289094400.

The previous prime is 1052533459. The next prime is 1052533553. The reversal of 1052533524 is 4253352501.

It is a super-2 number, since 2×1052533524² = 2215653638287717152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052533491 and 1052533500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2197117 + ... + 2197595.

It is an arithmetic number, because the mean of its divisors is an integer number (20620320).

Almost surely, 2^1052533524 is an apocalyptic number.

1052533524 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 1052533524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484663040).

1052533524 is an abundant number, since it is smaller than the sum of its proper divisors (1916792556).

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

1052533524 is a wasteful number, since it uses less digits than its factorization.

1052533524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 1052533524 is about 32442.7730627331. The cubic root of 1052533524 is about 1017.2131810142.

The spelling of 1052533524 in words is "one billion, fifty-two million, five hundred thirty-three thousand, five hundred twenty-four".