1313549788752 has 160 divisors (see below), whose sum is σ = 3969569740800. Its totient is φ = 414726334848.

The previous prime is 1313549788751. The next prime is 1313549788769. The reversal of 1313549788752 is 2578879453131.

It is a happy number.

1313549788752 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 549 + 7 + 8 + 87 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1313549788752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313549788751) 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 31 ways as a sum of consecutive naturals, for example, 55498873 + ... + 55522535.

It is an arithmetic number, because the mean of its divisors is an integer number (24809810880).

Almost surely, 2^{1313549788752} is an apocalyptic number.

1313549788752 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 1313549788752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984784870400).

1313549788752 is an abundant number, since it is smaller than the sum of its proper divisors (2656019952048).

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

1313549788752 is a wasteful number, since it uses less digits than its factorization.

1313549788752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30462 (or 30450 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 1313549788752 in words is "one trillion, three hundred thirteen billion, five hundred forty-nine million, seven hundred eighty-eight thousand, seven hundred fifty-two".