13025536 has 72 divisors (see below), whose sum is σ = 28587384. Its totient is φ = 5898240.

The previous prime is 13025527. The next prime is 13025557. The reversal of 13025536 is 63552031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1081600 + 11943936 = 1040^2 + 3456^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13025536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178396 + ... + 178468.

It is an arithmetic number, because the mean of its divisors is an integer number (397047).

Almost surely, 2^13025536 is an apocalyptic number.

13025536 is a gapful number since it is divisible by the number (16) 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 13025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293692).

13025536 is an abundant number, since it is smaller than the sum of its proper divisors (15561848).

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

13025536 is an equidigital number, since it uses as much as digits as its factorization.

13025536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 13025536 is about 3609.0907442180. The cubic root of 13025536 is about 235.2873262354.

Adding to 13025536 its reverse (63552031), we get a palindrome (76577567).

The spelling of 13025536 in words is "thirteen million, twenty-five thousand, five hundred thirty-six".