2523135304500 has 192 divisors, whose sum is σ = 7519031380224. Its totient is φ = 657228249600.

The previous prime is 2523135304493. The next prime is 2523135304507. The reversal of 2523135304500 is 54035313252.

2523135304500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2523135304493) and next prime (2523135304507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523135304507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17976594 + ... + 18116406.

It is an arithmetic number, because the mean of its divisors is an integer number (39161621772).

Almost surely, 2^{2523135304500} is an apocalyptic number.

2523135304500 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 2523135304500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759515690112).

2523135304500 is an abundant number, since it is smaller than the sum of its proper divisors (4995896075724).

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

2523135304500 is a wasteful number, since it uses less digits than its factorization.

2523135304500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140115 (or 140103 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 2523135304500 in words is "two trillion, five hundred twenty-three billion, one hundred thirty-five million, three hundred four thousand, five hundred".