2521008625 has 32 divisors (see below), whose sum is σ = 3343485600. Its totient is φ = 1891225600.

The previous prime is 2521008617. The next prime is 2521008631. The reversal of 2521008625 is 5268001252.

It can be written as a sum of positive squares in 16 ways, for example, as 1069093809 + 1451914816 = 32697^2 + 38104^2 .

It is not a de Polignac number, because 2521008625 - 2³ = 2521008617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620601 + ... + 624649.

It is an arithmetic number, because the mean of its divisors is an integer number (104483925).

Almost surely, 2^2521008625 is an apocalyptic number.

2521008625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2521008625 is a deficient number, since it is larger than the sum of its proper divisors (822476975).

2521008625 is a wasteful number, since it uses less digits than its factorization.

2521008625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 2521008625 is about 50209.6467324756. The cubic root of 2521008625 is about 1360.9999539317. Note that the first 4 decimals are identical.

Adding to 2521008625 its reverse (5268001252), we get a palindrome (7789009877).

The spelling of 2521008625 in words is "two billion, five hundred twenty-one million, eight thousand, six hundred twenty-five".