13059288 has 72 divisors (see below), whose sum is σ = 38902500. Its totient is φ = 3954720.

The previous prime is 13059269. The next prime is 13059311. The reversal of 13059288 is 88295031.

It is a tau number, because it is divible by the number of its divisors (72).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7963 + ... + 9461.

Almost surely, 2^13059288 is an apocalyptic number.

13059288 is a gapful number since it is divisible by the number (18) 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 13059288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19451250).

13059288 is an abundant number, since it is smaller than the sum of its proper divisors (25843212).

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

13059288 is a wasteful number, since it uses less digits than its factorization.

13059288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13059288 is about 3613.7636890090. The cubic root of 13059288 is about 235.4903778507.

The spelling of 13059288 in words is "thirteen million, fifty-nine thousand, two hundred eighty-eight".