1059409520 has 80 divisors (see below), whose sum is σ = 2660683872. Its totient is φ = 389975040.

The previous prime is 1059409517. The next prime is 1059409529. The reversal of 1059409520 is 259049501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1059409520² = 2244697062133260800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059409529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386555 + ... + 389285.

Almost surely, 2^1059409520 is an apocalyptic number.

1059409520 is a gapful number since it is divisible by the number (10) 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 1059409520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330341936).

1059409520 is an abundant number, since it is smaller than the sum of its proper divisors (1601274352).

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

1059409520 is a wasteful number, since it uses less digits than its factorization.

1059409520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 1059409520 is about 32548.5717044543. The cubic root of 1059409520 is about 1019.4234599040.

The spelling of 1059409520 in words is "one billion, fifty-nine million, four hundred nine thousand, five hundred twenty".