1313563562352 has 240 divisors, whose sum is σ = 3748514365440. Its totient is φ = 429339875328.

The previous prime is 1313563562299. The next prime is 1313563562383. The reversal of 1313563562352 is 2532653653131.

It is a happy number.

1313563562352 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 635 + 6 + 2 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1313563562298 and 1313563562307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989873913 + ... + 989875239.

It is an arithmetic number, because the mean of its divisors is an integer number (15618809856).

Almost surely, 2^{1313563562352} is an apocalyptic number.

1313563562352 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 1313563562352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874257182720).

1313563562352 is an abundant number, since it is smaller than the sum of its proper divisors (2434950803088).

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

1313563562352 is a wasteful number, since it uses less digits than its factorization.

1313563562352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 45.

The spelling of 1313563562352 in words is "one trillion, three hundred thirteen billion, five hundred sixty-three million, five hundred sixty-two thousand, three hundred fifty-two".