1613560413300 has 288 divisors, whose sum is σ = 5329344150144. Its totient is φ = 373411584000.

The previous prime is 1613560413299. The next prime is 1613560413307. The reversal of 1613560413300 is 33140653161.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613560413307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6346630 + ... + 6595970.

It is an arithmetic number, because the mean of its divisors is an integer number (18504667188).

Almost surely, 2^{1613560413300} is an apocalyptic number.

1613560413300 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 1613560413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664672075072).

1613560413300 is an abundant number, since it is smaller than the sum of its proper divisors (3715783736844).

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

1613560413300 is a wasteful number, since it uses less digits than its factorization.

1613560413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249459 (or 249452 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 1613560413300 in words is "one trillion, six hundred thirteen billion, five hundred sixty million, four hundred thirteen thousand, three hundred".