1052129064 has 128 divisors (see below), whose sum is σ = 3079296000. Its totient is φ = 293366784.

The previous prime is 1052129053. The next prime is 1052129093. The reversal of 1052129064 is 4609212501.

It is a super-2 number, since 2×1052129064² = 2213951134627032192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1773952 + ... + 1774544.

It is an arithmetic number, because the mean of its divisors is an integer number (24057000).

Almost surely, 2^1052129064 is an apocalyptic number.

1052129064 is a gapful number since it is divisible by the number (14) 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 1052129064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539648000).

1052129064 is an abundant number, since it is smaller than the sum of its proper divisors (2027166936).

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

1052129064 is a wasteful number, since it uses less digits than its factorization.

1052129064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1052129064 is about 32436.5390262278. The cubic root of 1052129064 is about 1017.0828685366.

The spelling of 1052129064 in words is "one billion, fifty-two million, one hundred twenty-nine thousand, sixty-four".