1513633442560 has 288 divisors, whose sum is σ = 3819429028800. Its totient is φ = 573953802240.

The previous prime is 1513633442539. The next prime is 1513633442569. The reversal of 1513633442560 is 652443363151.

It is not an unprimeable number, because it can be changed into a prime (1513633442569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471682236 + ... + 471685444.

It is an arithmetic number, because the mean of its divisors is an integer number (13261906350).

Almost surely, 2^{1513633442560} is an apocalyptic number.

1513633442560 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 1513633442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909714514400).

1513633442560 is an abundant number, since it is smaller than the sum of its proper divisors (2305795586240).

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

1513633442560 is a wasteful number, since it uses less digits than its factorization.

1513633442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 1513633442560 in words is "one trillion, five hundred thirteen billion, six hundred thirty-three million, four hundred forty-two thousand, five hundred sixty".