2543302125 has 256 divisors, whose sum is σ = 5940480000. Its totient is φ = 1073217600.

The previous prime is 2543302121. The next prime is 2543302199. The reversal of 2543302125 is 5212033452.

It is a happy number.

The cubic root of 2543302125 is 1365.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 2543302125 - 2² = 2543302121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543302121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 195638619 + ... + 195638631.

It is an arithmetic number, because the mean of its divisors is an integer number (23205000).

Almost surely, 2^2543302125 is an apocalyptic number.

2543302125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2543302125 is an abundant number, since it is smaller than the sum of its proper divisors (3397177875).

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

2543302125 is an frugal number, since it uses more digits than its factorization.

2543302125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2543302125 is about 50431.1622412175.

Multiplying 2543302125 by its sum of digits (27), we get a cube (68669157375 = 4095³).

2543302125 divided by its sum of digits (27) gives a cube (94196375 = 455³).

Adding to 2543302125 its reverse (5212033452), we get a palindrome (7755335577).

The spelling of 2543302125 in words is "two billion, five hundred forty-three million, three hundred two thousand, one hundred twenty-five".