13283367552 has 864 divisors, whose sum is σ = 51773510880. Its totient is φ = 3318921216.

The previous prime is 13283367529. The next prime is 13283367607. The reversal of 13283367552 is 25576338231.

13283367552 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 33 + 67 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

Its product of digits (907200) is a multiple of the sum of its prime factors (100).

It is a junction number, because it is equal to n+sod(n) for n = 13283367498 and 13283367507.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 699124599 + ... + 699124617.

It is an arithmetic number, because the mean of its divisors is an integer number (59923045).

Almost surely, 2^13283367552 is an apocalyptic number.

13283367552 is a gapful number since it is divisible by the number (12) 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 13283367552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25886755440).

13283367552 is an abundant number, since it is smaller than the sum of its proper divisors (38490143328).

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

13283367552 is an equidigital number, since it uses as much as digits as its factorization.

13283367552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 13283367552 in words is "thirteen billion, two hundred eighty-three million, three hundred sixty-seven thousand, five hundred fifty-two".