20807875249225 has 27 divisors (see below), whose sum is σ = 25922380153927. Its totient is φ = 16568844825680.

The previous prime is 20807875249211. The next prime is 20807875249237. The reversal of 20807875249225 is 52294257870802.

The square root of 20807875249225 is 4561565.

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., 7490835089721 + 13317040159504 = 2736939^2 + 3649252^2 .

It is a de Polignac number, because none of the positive numbers 2^k-20807875249225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5177374266 + ... + 5177378284.

Almost surely, 2^{20807875249225} is an apocalyptic number.

20807875249225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20807875249225 is the 4561565-th square number.

20807875249225 is the 2280783-rd centered octagonal number.

It is an amenable number.

20807875249225 is a deficient number, since it is larger than the sum of its proper divisors (5114504904702).

20807875249225 is an frugal number, since it uses more digits than its factorization.

20807875249225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 61.

The spelling of 20807875249225 in words is "twenty trillion, eight hundred seven billion, eight hundred seventy-five million, two hundred forty-nine thousand, two hundred twenty-five".