13125632 has 96 divisors (see below), whose sum is σ = 30958200. Its totient is φ = 5505024.

The previous prime is 13125611. The next prime is 13125653. The reversal of 13125632 is 23652131.

It is an interprime number because it is at equal distance from previous prime (13125611) and next prime (13125653).

It can be written as a sum of positive squares in 4 ways, for example, as 10863616 + 2262016 = 3296^2 + 1504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13125598 and 13125607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452594 + ... + 452622.

Almost surely, 2^13125632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479100).

13125632 is an abundant number, since it is smaller than the sum of its proper divisors (17832568).

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

13125632 is a wasteful number, since it uses less digits than its factorization.

13125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 13125632 is about 3622.9314097841. The cubic root of 13125632 is about 235.8884850917. Note that the first 3 decimals are identical.

Adding to 13125632 its reverse (23652131), we get a palindrome (36777763).

The spelling of 13125632 in words is "thirteen million, one hundred twenty-five thousand, six hundred thirty-two".