2505133685736 has 192 divisors, whose sum is σ = 7737008947200. Its totient is φ = 725343465600.

The previous prime is 2505133685651. The next prime is 2505133685741. The reversal of 2505133685736 is 6375863315052.

2505133685736 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 1 + 3 + 3 + 68 + 573 + 6 = 666.

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, 1293825 + ... + 2585391.

It is an arithmetic number, because the mean of its divisors is an integer number (40296921600).

Almost surely, 2^{2505133685736} 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 2505133685736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868504473600).

2505133685736 is an abundant number, since it is smaller than the sum of its proper divisors (5231875261464).

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

2505133685736 is a wasteful number, since it uses less digits than its factorization.

2505133685736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291700 (or 1291693 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 2505133685736 in words is "two trillion, five hundred five billion, one hundred thirty-three million, six hundred eighty-five thousand, seven hundred thirty-six".