2505052775064 has 128 divisors (see below), whose sum is σ = 7579460044800. Its totient is φ = 673525493760.

The previous prime is 2505052775041. The next prime is 2505052775111. The reversal of 2505052775064 is 4605772505052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19811884 + ... + 19937924.

It is an arithmetic number, because the mean of its divisors is an integer number (59214531600).

Almost surely, 2^{2505052775064} is an apocalyptic number.

2505052775064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505052775064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789730022400).

2505052775064 is an abundant number, since it is smaller than the sum of its proper divisors (5074407269736).

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

2505052775064 is a wasteful number, since it uses less digits than its factorization.

2505052775064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133033 (or 133029 counting only the distinct ones).

The product of its (nonzero) digits is 2940000, while the sum is 48.

The spelling of 2505052775064 in words is "two trillion, five hundred five billion, fifty-two million, seven hundred seventy-five thousand, sixty-four".