1000052064 has 288 divisors, whose sum is σ = 3396556800. Its totient is φ = 275558400.

The previous prime is 1000052063. The next prime is 1000052069. The reversal of 1000052064 is 4602500001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000052063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1669237 + ... + 1669835.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1000052064 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 1000052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698278400).

1000052064 is an abundant number, since it is smaller than the sum of its proper divisors (2396504736).

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

1000052064 is a wasteful number, since it uses less digits than its factorization.

1000052064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1000052064 is about 31623.5997950897. The cubic root of 1000052064 is about 1000.0173543655.

Adding to 1000052064 its reverse (4602500001), we get a palindrome (5602552065).

The spelling of 1000052064 in words is "one billion, fifty-two thousand, sixty-four".