1059252640 has 108 divisors (see below), whose sum is σ = 2617343442. Its totient is φ = 405093120.

The previous prime is 1059252611. The next prime is 1059252659. The reversal of 1059252640 is 462529501.

It is a happy number.

1059252640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 953327376 + 105925264 = 30876^2 + 10292^2 .

It is a super-2 number, since 2×1059252640² = 2244032310693939200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1059252596 and 1059252605.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12762039 + ... + 12762121.

Almost surely, 2^1059252640 is an apocalyptic number.

1059252640 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 1059252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308671721).

1059252640 is an abundant number, since it is smaller than the sum of its proper divisors (1558090802).

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

1059252640 is an frugal number, since it uses more digits than its factorization.

1059252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 1059252640 is about 32546.1616784530. The cubic root of 1059252640 is about 1019.3731378317.

The spelling of 1059252640 in words is "one billion, fifty-nine million, two hundred fifty-two thousand, six hundred forty".