1052301312 has 144 divisors (see below), whose sum is σ = 3123403920. Its totient is φ = 341065728.

The previous prime is 1052301269. The next prime is 1052301319. The reversal of 1052301312 is 2131032501.

1052301312 is a `hidden beast` number, since 1 + 0 + 52 + 301 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1052301312² = 2214676102473842688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052301319) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 681213 + ... + 682755.

It is an arithmetic number, because the mean of its divisors is an integer number (21690305).

Almost surely, 2^1052301312 is an apocalyptic number.

1052301312 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 1052301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561701960).

1052301312 is an abundant number, since it is smaller than the sum of its proper divisors (2071102608).

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

1052301312 is a wasteful number, since it uses less digits than its factorization.

1052301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1052301312 is about 32439.1940713699. The cubic root of 1052301312 is about 1017.1383689932.

Adding to 1052301312 its reverse (2131032501), we get a palindrome (3183333813).

The spelling of 1052301312 in words is "one billion, fifty-two million, three hundred one thousand, three hundred twelve".