13612500 has 162 divisors, whose sum is σ = 47274318. Its totient is φ = 3300000.

The previous prime is 13612471. The next prime is 13612507. The reversal of 13612500 is 521631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13612500 is a `hidden beast` number, since 1 + 3 + 612 + 50 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6290064 + 7322436 = 2508^2 + 2706^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13612507) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1237495 + ... + 1237505.

Almost surely, 2^13612500 is an apocalyptic number.

13612500 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 13612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637159).

13612500 is an abundant number, since it is smaller than the sum of its proper divisors (33661818).

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

13612500 is a wasteful number, since it uses less digits than its factorization.

13612500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13612500 is about 3689.5121628747. The cubic root of 13612500 is about 238.7697460894.

Multiplying 13612500 by its product of nonzero digits (180), we get a square (2450250000 = 49500²).

13612500 divided by its product of nonzero digits (180) gives a square (75625 = 275²).

The spelling of 13612500 in words is "thirteen million, six hundred twelve thousand, five hundred".