49631813650225 has 81 divisors (see below), whose sum is σ = 64006372097577. Its totient is φ = 38176830074880.

The previous prime is 49631813650213. The next prime is 49631813650241. The reversal of 49631813650225 is 52205631813694.

The square root of 49631813650225 is 7044985.

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

It can be written as a sum of positive squares in 40 ways, for example, as 34796867838769 + 14834945811456 = 5898887^2 + 3851616^2 .

It is not a de Polignac number, because 49631813650225 - 2¹⁷ = 49631813519153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 147275411257 + ... + 147275411593.

Almost surely, 2^{49631813650225} is an apocalyptic number.

49631813650225 is the 7044985-th square number.

49631813650225 is the 3522493-rd centered octagonal number.

It is an amenable number.

49631813650225 is a deficient number, since it is larger than the sum of its proper divisors (14374558447352).

49631813650225 is an frugal number, since it uses more digits than its factorization.

49631813650225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 49631813650225 in words is "forty-nine trillion, six hundred thirty-one billion, eight hundred thirteen million, six hundred fifty thousand, two hundred twenty-five".