1053040128 has 160 divisors (see below), whose sum is σ = 3294027264. Its totient is φ = 292626432.

The previous prime is 1053040127. The next prime is 1053040151. The reversal of 1053040128 is 8210403501.

It is a super-2 number, since 2×1053040128² = 2217787022356512768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1053040098 and 1053040107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053040127) 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, 396501 + ... + 399147.

Almost surely, 2^1053040128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647013632).

1053040128 is an abundant number, since it is smaller than the sum of its proper divisors (2240987136).

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

1053040128 is an equidigital number, since it uses as much as digits as its factorization.

1053040128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1053040128 is about 32450.5797791041. The cubic root of 1053040128 is about 1017.3763560575.

Adding to 1053040128 its reverse (8210403501), we get a palindrome (9263443629).

The spelling of 1053040128 in words is "one billion, fifty-three million, forty thousand, one hundred twenty-eight".