54936328225 has 9 divisors (see below), whose sum is σ = 68122500217. Its totient is φ = 43948125040.

The previous prime is 54936328219. The next prime is 54936328231. The reversal of 54936328225 is 52282363945.

The square root of 54936328225 is 234385.

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

It is an interprime number because it is at equal distance from previous prime (54936328219) and next prime (54936328231).

It can be written as a sum of positive squares in 4 ways, for example, as 25563852769 + 29372475456 = 159887^2 + 171384^2 .

It is not a de Polignac number, because 54936328225 - 2³ = 54936328217 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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1148487 + ... + 1195363.

Almost surely, 2^54936328225 is an apocalyptic number.

54936328225 is the 234385-th square number.

54936328225 is the 117193-rd centered octagonal number.

It is an amenable number.

54936328225 is a deficient number, since it is larger than the sum of its proper divisors (13186171992).

54936328225 is an frugal number, since it uses more digits than its factorization.

54936328225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93764 (or 46882 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 49.

Multiplying 54936328225 by its sum of digits (49), we get a square (2691880083025 = 1640695²).

It can be divided in two parts, 54936 and 328225, that added together give a square (383161 = 619²).

The spelling of 54936328225 in words is "fifty-four billion, nine hundred thirty-six million, three hundred twenty-eight thousand, two hundred twenty-five".