1059553152 has 384 divisors, whose sum is σ = 3780691200. Its totient is φ = 277954560.

The previous prime is 1059553133. The next prime is 1059553189. The reversal of 1059553152 is 2513559501.

1059553152 is a `hidden beast` number, since 1 + 0 + 59 + 553 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1059553152² = 2245305763826270208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8088127 + ... + 8088257.

It is an arithmetic number, because the mean of its divisors is an integer number (9845550).

Almost surely, 2^1059553152 is an apocalyptic number.

1059553152 is a gapful number since it is divisible by the number (12) 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 1059553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890345600).

1059553152 is an abundant number, since it is smaller than the sum of its proper divisors (2721138048).

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

1059553152 is a wasteful number, since it uses less digits than its factorization.

1059553152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The square root of 1059553152 is about 32550.7780552171. The cubic root of 1059553152 is about 1019.4695280866.

The spelling of 1059553152 in words is "one billion, fifty-nine million, five hundred fifty-three thousand, one hundred fifty-two".