1052131968 has 48 divisors (see below), whose sum is σ = 3027622650. Its totient is φ = 350710272.

The previous prime is 1052131967. The next prime is 1052131979. The reversal of 1052131968 is 8691312501.

1052131968 is a `hidden beast` number, since 10 + 521 + 31 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1023488064 + 28643904 = 31992^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1052131968² = 2213963356175106048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1052131961) 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 5 ways as a sum of consecutive naturals, for example, 455503 + ... + 457806.

Almost surely, 2^1052131968 is an apocalyptic number.

1052131968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1052131968 is an abundant number, since it is smaller than the sum of its proper divisors (1975490682).

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

1052131968 is an equidigital number, since it uses as much as digits as its factorization.

1052131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913329 (or 913314 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1052131968 is about 32436.5837905289. The cubic root of 1052131968 is about 1017.0838042919.

The spelling of 1052131968 in words is "one billion, fifty-two million, one hundred thirty-one thousand, nine hundred sixty-eight".