13275187524 has 135 divisors (see below), whose sum is σ = 35874618087. Its totient is φ = 4280579136.

The previous prime is 13275187493. The next prime is 13275187529. The reversal of 13275187524 is 42578157231.

The square root of 13275187524 is 115218.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8596627524 + 4678560000 = 92718^2 + 68400^2 .

It is a super-3 number, since 3×13275187524³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13275187524.

It is not an unprimeable number, because it can be changed into a prime (13275187529) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 76735102 + ... + 76735274.

Almost surely, 2^13275187524 is an apocalyptic number.

13275187524 is the 115218-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13275187524

13275187524 is an abundant number, since it is smaller than the sum of its proper divisors (22599430563).

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

13275187524 is an equidigital number, since it uses as much as digits as its factorization.

13275187524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 215 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 13275187524 in words is "thirteen billion, two hundred seventy-five million, one hundred eighty-seven thousand, five hundred twenty-four".