2562401125 has 8 divisors (see below), whose sum is σ = 3197876760. Its totient is φ = 2049920800.

The previous prime is 2562401119. The next prime is 2562401129. The reversal of 2562401125 is 5211042652.

2562401125 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 4 ways, for example, as 829094436 + 1733306689 = 28794^2 + 41633^2 .

It is not a de Polignac number, because 2562401125 - 2³ = 2562401117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2562401093 and 2562401102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2562401129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10249480 + ... + 10249729.

It is an arithmetic number, because the mean of its divisors is an integer number (399734595).

Almost surely, 2^2562401125 is an apocalyptic number.

2562401125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2562401125 is a deficient number, since it is larger than the sum of its proper divisors (635475635).

2562401125 is an equidigital number, since it uses as much as digits as its factorization.

2562401125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20499224 (or 20499214 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2562401125 is about 50620.1652012318. The cubic root of 2562401125 is about 1368.4083180683.

Adding to 2562401125 its reverse (5211042652), we get a palindrome (7773443777).

The spelling of 2562401125 in words is "two billion, five hundred sixty-two million, four hundred one thousand, one hundred twenty-five".