1053345280 has 160 divisors (see below), whose sum is σ = 2810320128. Its totient is φ = 376012800.

The previous prime is 1053345263. The next prime is 1053345287. The reversal of 1053345280 is 825433501.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1053345280² = 2219072557796556800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053345287) 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, 1031170 + ... + 1032190.

Almost surely, 2^1053345280 is an apocalyptic number.

1053345280 is a gapful number since it is divisible by the number (10) 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 1053345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405160064).

1053345280 is an abundant number, since it is smaller than the sum of its proper divisors (1756974848).

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

1053345280 is a wasteful number, since it uses less digits than its factorization.

1053345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 1053345280 is about 32455.2812343384. The cubic root of 1053345280 is about 1017.4746189943.

Adding to 1053345280 its reverse (825433501), we get a palindrome (1878778781).

The spelling of 1053345280 in words is "one billion, fifty-three million, three hundred forty-five thousand, two hundred eighty".