13252530501540 has 192 divisors, whose sum is σ = 45000692029440. Its totient is φ = 3211134192000.

The previous prime is 13252530501527. The next prime is 13252530501559. The reversal of 13252530501540 is 4510503525231.

13252530501540 is a `hidden beast` number, since 1 + 3 + 2 + 52 + 53 + 0 + 501 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13252530501495 and 13252530501504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11390625 + ... + 12500055.

It is an arithmetic number, because the mean of its divisors is an integer number (234378604320).

Almost surely, 2^{13252530501540} is an apocalyptic number.

13252530501540 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 13252530501540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22500346014720).

13252530501540 is an abundant number, since it is smaller than the sum of its proper divisors (31748161527900).

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

13252530501540 is a wasteful number, since it uses less digits than its factorization.

13252530501540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111471 (or 1111463 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 13252530501540 in words is "thirteen trillion, two hundred fifty-two billion, five hundred thirty million, five hundred one thousand, five hundred forty".