1052126064 has 320 divisors, whose sum is σ = 3561676800. Its totient is φ = 293932800.

The previous prime is 1052126063. The next prime is 1052126077. The reversal of 1052126064 is 4606212501.

1052126064 is a `hidden beast` number, since 1 + 0 + 52 + 1 + 2 + 606 + 4 = 666.

It is a super-2 number, since 2×1052126064² = 2213938509096264192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052126063) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3882249 + ... + 3882519.

It is an arithmetic number, because the mean of its divisors is an integer number (11130240).

Almost surely, 2^1052126064 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 1052126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780838400).

1052126064 is an abundant number, since it is smaller than the sum of its proper divisors (2509550736).

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

1052126064 is a wasteful number, since it uses less digits than its factorization.

1052126064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1052126064 is about 32436.4927820503. The cubic root of 1052126064 is about 1017.0819018455.

Adding to 1052126064 its reverse (4606212501), we get a palindrome (5658338565).

It can be divided in two parts, 10521 and 26064, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 1052126064 in words is "one billion, fifty-two million, one hundred twenty-six thousand, sixty-four".