1052059008 has 768 divisors, whose sum is σ = 4219568640. Its totient is φ = 227082240.

The previous prime is 1052059007. The next prime is 1052059033. The reversal of 1052059008 is 8009502501.

It is a super-2 number, since 2×1052059008² = 2213656312627888128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052059003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45741685 + ... + 45741707.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2^1052059008 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 1052059008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109784320).

1052059008 is an abundant number, since it is smaller than the sum of its proper divisors (3167509632).

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

1052059008 is a wasteful number, since it uses less digits than its factorization.

1052059008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1052059008 is about 32435.4591149871. The cubic root of 1052059008 is about 1017.0602938857.

The spelling of 1052059008 in words is "one billion, fifty-two million, fifty-nine thousand, eight".