48100952185225 has 27 divisors (see below), whose sum is σ = 59757061046151. Its totient is φ = 38408715930000.

The previous prime is 48100952185211. The next prime is 48100952185229. The reversal of 48100952185225 is 52258125900184.

The square root of 48100952185225 is 6935485.

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

48100952185225 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 only one way, i.e., 17316342786681 + 30784609398544 = 4161291^2 + 5548388^2 .

It is not a de Polignac number, because 48100952185225 - 2⁵ = 48100952185193 is a prime.

It is a super-3 number, since 3×48100952185225³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48100952185229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26042745252 + ... + 26042747098.

Almost surely, 2^{48100952185225} is an apocalyptic number.

48100952185225 is the 6935485-th square number.

48100952185225 is the 3467743-rd centered octagonal number.

It is an amenable number.

48100952185225 is a deficient number, since it is larger than the sum of its proper divisors (11656108860926).

48100952185225 is an frugal number, since it uses more digits than its factorization.

48100952185225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 52.

The spelling of 48100952185225 in words is "forty-eight trillion, one hundred billion, nine hundred fifty-two million, one hundred eighty-five thousand, two hundred twenty-five".