1052953344 has 360 divisors, whose sum is σ = 3472428960. Its totient is φ = 315850752.

The previous prime is 1052953309. The next prime is 1052953397. The reversal of 1052953344 is 4433592501.

It is a super-2 number, since 2×1052953344² = 2217421489281564672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1052953299 and 1052953308.

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 39 ways as a sum of consecutive naturals, for example, 10222797 + ... + 10222899.

It is an arithmetic number, because the mean of its divisors is an integer number (9645636).

Almost surely, 2^1052953344 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 1052953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736214480).

1052953344 is an abundant number, since it is smaller than the sum of its proper divisors (2419475616).

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

1052953344 is a wasteful number, since it uses less digits than its factorization.

1052953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1052953344 is about 32449.2425797583. The cubic root of 1052953344 is about 1017.3484070070.

The spelling of 1052953344 in words is "one billion, fifty-two million, nine hundred fifty-three thousand, three hundred forty-four".