13125084 has 96 divisors (see below), whose sum is σ = 37180416. Its totient is φ = 3525120.

The previous prime is 13125083. The next prime is 13125089. The reversal of 13125084 is 48052131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 127377 + ... + 127479.

It is an arithmetic number, because the mean of its divisors is an integer number (387296).

Almost surely, 2^13125084 is an apocalyptic number.

13125084 is a gapful number since it is divisible by the number (14) 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 13125084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18590208).

13125084 is an abundant number, since it is smaller than the sum of its proper divisors (24055332).

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

13125084 is a wasteful number, since it uses less digits than its factorization.

13125084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13125084 is about 3622.8557796302. The cubic root of 13125084 is about 235.8852022354.

The spelling of 13125084 in words is "thirteen million, one hundred twenty-five thousand, eighty-four".