2505321352314 has 192 divisors, whose sum is σ = 6234723975168. Its totient is φ = 719659987200.

The previous prime is 2505321352283. The next prime is 2505321352379. The reversal of 2505321352314 is 4132531235052.

2505321352314 is a `hidden beast` number, since 2 + 50 + 53 + 21 + 3 + 523 + 14 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 689979279 + ... + 689982909.

It is an arithmetic number, because the mean of its divisors is an integer number (32472520704).

Almost surely, 2^{2505321352314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505321352314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117361987584).

2505321352314 is an abundant number, since it is smaller than the sum of its proper divisors (3729402622854).

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

2505321352314 is a wasteful number, since it uses less digits than its factorization.

2505321352314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 2505321352314 its reverse (4132531235052), we get a palindrome (6637852587366).

The spelling of 2505321352314 in words is "two trillion, five hundred five billion, three hundred twenty-one million, three hundred fifty-two thousand, three hundred fourteen".