1053121024 has 60 divisors (see below), whose sum is σ = 2154824694. Its totient is φ = 514002944.

The previous prime is 1053121009. The next prime is 1053121063. The reversal of 1053121024 is 4201213501.

It can be written as a sum of positive squares in 3 ways, for example, as 919302400 + 133818624 = 30320^2 + 11568^2 .

It is a super-2 number, since 2×1053121024² = 2218127782381617152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053120992 and 1053121010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5345694 + ... + 5345890.

Almost surely, 2^1053121024 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 1053121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077412347).

1053121024 is an abundant number, since it is smaller than the sum of its proper divisors (1101703670).

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

1053121024 is an frugal number, since it uses more digits than its factorization.

1053121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1053121024 is about 32451.8262043910. The cubic root of 1053121024 is about 1017.4024074770.

Adding to 1053121024 its reverse (4201213501), we get a palindrome (5254334525).

The spelling of 1053121024 in words is "one billion, fifty-three million, one hundred twenty-one thousand, twenty-four".