13147287552 has 728 divisors, whose sum is σ = 48989519136. Its totient is φ = 3439853568.

The previous prime is 13147287551. The next prime is 13147287599. The reversal of 13147287552 is 25578274131.

13147287552 is a `hidden beast` number, since 1 + 3 + 14 + 7 + 2 + 87 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13147287498 and 13147287507.

It is not an unprimeable number, because it can be changed into a prime (13147287551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 355332078 + ... + 355332114.

Almost surely, 2^13147287552 is an apocalyptic number.

13147287552 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 13147287552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494759568).

13147287552 is an abundant number, since it is smaller than the sum of its proper divisors (35842231584).

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

13147287552 is an frugal number, since it uses more digits than its factorization.

13147287552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

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

It can be divided in two parts, 131472 and 87552, that added together give a square (219024 = 468²).

The spelling of 13147287552 in words is "thirteen billion, one hundred forty-seven million, two hundred eighty-seven thousand, five hundred fifty-two".