2567260125 has 48 divisors (see below), whose sum is σ = 4661974512. Its totient is φ = 1359129600.

The previous prime is 2567260093. The next prime is 2567260159. The reversal of 2567260125 is 5210627652.

2567260125 is a `hidden beast` number, since 25 + 6 + 7 + 2 + 601 + 25 = 666.

2567260125 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 101243844 + 2466016281 = 10062^2 + 49659^2 .

It is not a de Polignac number, because 2567260125 - 2⁵ = 2567260093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2567260125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145797 + ... + 162453.

It is an arithmetic number, because the mean of its divisors is an integer number (97124469).

Almost surely, 2^2567260125 is an apocalyptic number.

2567260125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2567260125 is a deficient number, since it is larger than the sum of its proper divisors (2094714387).

2567260125 is a wasteful number, since it uses less digits than its factorization.

2567260125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16815 (or 16802 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2567260125 is about 50668.1371771254. The cubic root of 2567260125 is about 1369.2727283476.

Adding to 2567260125 its reverse (5210627652), we get a palindrome (7777887777).

The spelling of 2567260125 in words is "two billion, five hundred sixty-seven million, two hundred sixty thousand, one hundred twenty-five".