2523120500 has 48 divisors (see below), whose sum is σ = 5559385104. Its totient is φ = 1000294400.

The previous prime is 2523120499. The next prime is 2523120511. The reversal of 2523120500 is 50213252.

2523120500 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 8 ways, for example, as 1602240784 + 920879716 = 40028^2 + 30346^2 .

It is a super-2 number, since 2×2523120500² = 12732274115040500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34172 + ... + 78828.

It is an arithmetic number, because the mean of its divisors is an integer number (115820523).

Almost surely, 2^2523120500 is an apocalyptic number.

2523120500 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 2523120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779692552).

2523120500 is an abundant number, since it is smaller than the sum of its proper divisors (3036264604).

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

2523120500 is a wasteful number, since it uses less digits than its factorization.

2523120500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44789 (or 44777 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2523120500 is about 50230.6729001314. The cubic root of 2523120500 is about 1361.3798891056.

Adding to 2523120500 its reverse (50213252), we get a palindrome (2573333752).

The spelling of 2523120500 in words is "two billion, five hundred twenty-three million, one hundred twenty thousand, five hundred".