2506112500 has 72 divisors (see below), whose sum is σ = 5521006008. Its totient is φ = 995280000.

The previous prime is 2506112423. The next prime is 2506112501. The reversal of 2506112500 is 52116052.

2506112500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2505803364 + 309136 = 50058^2 + 556^2 .

It is a super-3 number, since 3×2506112500³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506112501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1961862 + ... + 1963138.

It is an arithmetic number, because the mean of its divisors is an integer number (76680639).

Almost surely, 2^2506112500 is an apocalyptic number.

2506112500 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 2506112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760503004).

2506112500 is an abundant number, since it is smaller than the sum of its proper divisors (3014893508).

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

2506112500 is a wasteful number, since it uses less digits than its factorization.

2506112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 2506112500 is about 50061.0876829499. The cubic root of 2506112500 is about 1358.3140332067.

Adding to 2506112500 its reverse (52116052), we get a palindrome (2558228552).

The spelling of 2506112500 in words is "two billion, five hundred six million, one hundred twelve thousand, five hundred".