2505165300630 has 192 divisors, whose sum is σ = 6620243954688. Its totient is φ = 657187534080.

The previous prime is 2505165300611. The next prime is 2505165300713. The reversal of 2505165300630 is 360035615052.

2505165300630 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 16 + 5 + 3 + 0 + 0 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1558907287 + ... + 1558908893.

It is an arithmetic number, because the mean of its divisors is an integer number (34480437264).

Almost surely, 2^{2505165300630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505165300630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310121977344).

2505165300630 is an abundant number, since it is smaller than the sum of its proper divisors (4115078654058).

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

2505165300630 is a wasteful number, since it uses less digits than its factorization.

2505165300630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 2505165300630 in words is "two trillion, five hundred five billion, one hundred sixty-five million, three hundred thousand, six hundred thirty".