2505305134350 has 96 divisors (see below), whose sum is σ = 6907373004000. Its totient is φ = 667707287040.

The previous prime is 2505305134331. The next prime is 2505305134391. The reversal of 2505305134350 is 534315035052.

2505305134350 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 305 + 1 + 343 + 5 + 0 = 666.

2505305134350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1896486 + ... + 2933814.

It is an arithmetic number, because the mean of its divisors is an integer number (71951802125).

Almost surely, 2^{2505305134350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505305134350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453686502000).

2505305134350 is an abundant number, since it is smaller than the sum of its proper divisors (4402067869650).

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

2505305134350 is a wasteful number, since it uses less digits than its factorization.

2505305134350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039139 (or 1039128 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 2505305134350 in words is "two trillion, five hundred five billion, three hundred five million, one hundred thirty-four thousand, three hundred fifty".