2501375012500 has 288 divisors, whose sum is σ = 6761640727296. Its totient is φ = 788400000000.

The previous prime is 2501375012483. The next prime is 2501375012501. The reversal of 2501375012500 is 52105731052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501375012501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285508120 + ... + 285516880.

It is an arithmetic number, because the mean of its divisors is an integer number (23477919192).

Almost surely, 2^{2501375012500} is an apocalyptic number.

2501375012500 is a gapful number since it is divisible by the number (20) 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 2501375012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380820363648).

2501375012500 is an abundant number, since it is smaller than the sum of its proper divisors (4260265714796).

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

2501375012500 is a wasteful number, since it uses less digits than its factorization.

2501375012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The spelling of 2501375012500 in words is "two trillion, five hundred one billion, three hundred seventy-five million, twelve thousand, five hundred".