2510511025 has 27 divisors (see below), whose sum is σ = 3425524459. Its totient is φ = 1823822000.

The previous prime is 2510511001. The next prime is 2510511077. The reversal of 2510511025 is 5201150152.

It is a happy number.

The square root of 2510511025 is 50105.

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

It can be written as a sum of positive squares in only one way, i.e., 903783969 + 1606727056 = 30063^2 + 40084^2 .

It is not a de Polignac number, because 2510511025 - 2⁵ = 2510510993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2510510987 and 2510511005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2755320 + ... + 2756230.

Almost surely, 2^2510511025 is an apocalyptic number.

2510511025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2510511025 is the 50105-th square number.

2510511025 is the 25053-rd centered octagonal number.

It is an amenable number.

2510511025 is a deficient number, since it is larger than the sum of its proper divisors (915013434).

2510511025 is an frugal number, since it uses more digits than its factorization.

2510511025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The cubic root of 2510511025 is about 1359.1082362167.

Adding to 2510511025 its reverse (5201150152), we get a palindrome (7711661177).

The spelling of 2510511025 in words is "two billion, five hundred ten million, five hundred eleven thousand, twenty-five".