305525161300000 has 144 divisors (see below), whose sum is σ = 753085496318400. Its totient is φ = 122006017120000.

The previous prime is 305525161299949. The next prime is 305525161300031. The reversal of 305525161300000 is 3161525503.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57349707 + ... + 62450293.

It is an arithmetic number, because the mean of its divisors is an integer number (5229760391100).

Almost surely, 2^{305525161300000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305525161300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376542748159200).

305525161300000 is an abundant number, since it is smaller than the sum of its proper divisors (447560335018400).

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

305525161300000 is an frugal number, since it uses more digits than its factorization.

305525161300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101221 (or 5101193 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 305525161300000 in words is "three hundred five trillion, five hundred twenty-five billion, one hundred sixty-one million, three hundred thousand".