1052303616 has 432 divisors, whose sum is σ = 3914668800. Its totient is φ = 276369408.

The previous prime is 1052303563. The next prime is 1052303617. The reversal of 1052303616 is 6163032501.

1052303616 is a `hidden beast` number, since 10 + 5 + 2 + 30 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1052303616² = 2214685800493350912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1052303616.

It is not an unprimeable number, because it can be changed into a prime (1052303617) 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 47 ways as a sum of consecutive naturals, for example, 4402825 + ... + 4403063.

Almost surely, 2^1052303616 is an apocalyptic number.

1052303616 is a gapful number since it is divisible by the number (16) 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 1052303616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957334400).

1052303616 is an abundant number, since it is smaller than the sum of its proper divisors (2862365184).

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

1052303616 is a wasteful number, since it uses less digits than its factorization.

1052303616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1052303616 is about 32439.2295839467. The cubic root of 1052303616 is about 1017.1391113298.

The spelling of 1052303616 in words is "one billion, fifty-two million, three hundred three thousand, six hundred sixteen".