1052513280 has 528 divisors, whose sum is σ = 4506413184. Its totient is φ = 221184000.

The previous prime is 1052513261. The next prime is 1052513291. The reversal of 1052513280 is 823152501.

It is a happy number.

1052513280 is a `hidden beast` number, since 1 + 0 + 525 + 132 + 8 + 0 = 666.

It is a super-2 number, since 2×1052513280² = 2215568409152716800, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4193155 + ... + 4193405.

Almost surely, 2^1052513280 is an apocalyptic number.

1052513280 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 1052513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253206592).

1052513280 is an abundant number, since it is smaller than the sum of its proper divisors (3453899904).

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

1052513280 is a wasteful number, since it uses less digits than its factorization.

1052513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1052513280 is about 32442.4610657083. The cubic root of 1052513280 is about 1017.2066594181.

Adding to 1052513280 its reverse (823152501), we get a palindrome (1875665781).

The spelling of 1052513280 in words is "one billion, fifty-two million, five hundred thirteen thousand, two hundred eighty".