13253409540 has 672 divisors, whose sum is σ = 50768363520. Its totient is φ = 2841350400.

The previous prime is 13253409523. The next prime is 13253409541. The reversal of 13253409540 is 4590435231.

13253409540 is a `hidden beast` number, since 1 + 32 + 534 + 0 + 95 + 4 + 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 = 13253409495 and 13253409504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13253409541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 186667705 + ... + 186667775.

It is an arithmetic number, because the mean of its divisors is an integer number (75548160).

Almost surely, 2^13253409540 is an apocalyptic number.

13253409540 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 13253409540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25384181760).

13253409540 is an abundant number, since it is smaller than the sum of its proper divisors (37514953980).

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

13253409540 is a wasteful number, since it uses less digits than its factorization.

13253409540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13253409540 in words is "thirteen billion, two hundred fifty-three million, four hundred nine thousand, five hundred forty".