1053533952 has 270 divisors, whose sum is σ = 3349261608. Its totient is φ = 328762368.

The previous prime is 1053533891. The next prime is 1053533981. The reversal of 1053533952 is 2593353501.

It is a happy number.

1053533952 is a `hidden beast` number, since 1 + 0 + 535 + 33 + 95 + 2 = 666.

1053533952 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 2×1053533952² = 2219867576033476608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22415593 + ... + 22415639.

Almost surely, 2^1053533952 is an apocalyptic number.

1053533952 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 1053533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674630804).

1053533952 is an abundant number, since it is smaller than the sum of its proper divisors (2295727656).

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

1053533952 is an frugal number, since it uses more digits than its factorization.

1053533952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 1053533952 is about 32458.1877497805. The cubic root of 1053533952 is about 1017.5353643531.

The spelling of 1053533952 in words is "one billion, fifty-three million, five hundred thirty-three thousand, nine hundred fifty-two".