1053510432 has 96 divisors (see below), whose sum is σ = 2991800448. Its totient is φ = 322676736.

The previous prime is 1053510427. The next prime is 1053510433. The reversal of 1053510432 is 2340153501.

1053510432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1053510432² = 2219768460665653248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1053510433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288973 + ... + 292595.

It is an arithmetic number, because the mean of its divisors is an integer number (31164588).

Almost surely, 2^1053510432 is an apocalyptic number.

1053510432 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 1053510432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495900224).

1053510432 is an abundant number, since it is smaller than the sum of its proper divisors (1938290016).

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

1053510432 is a wasteful number, since it uses less digits than its factorization.

1053510432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1053510432 is about 32457.8254354786. The cubic root of 1053510432 is about 1017.5277921846.

Adding to 1053510432 its reverse (2340153501), we get a palindrome (3393663933).

The spelling of 1053510432 in words is "one billion, fifty-three million, five hundred ten thousand, four hundred thirty-two".