54991345828225 has 9 divisors (see below), whose sum is σ = 68189314803843. Its totient is φ = 43993047000120.

The previous prime is 54991345828213. The next prime is 54991345828229. The reversal of 54991345828225 is 52282854319945.

The square root of 54991345828225 is 7415615.

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., 19796884498161 + 35194461330064 = 4449369^2 + 5932492^2 .

It is not a de Polignac number, because 54991345828225 - 2²³ = 54991337439617 is a prime.

It is a super-2 number, since 2×54991345828225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54991345828229) by changing a digit.

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, 36336514 + ... + 37819636.

Almost surely, 2^{54991345828225} is an apocalyptic number.

54991345828225 is the 7415615-th square number.

54991345828225 is the 3707808-th centered octagonal number.

It is an amenable number.

54991345828225 is a deficient number, since it is larger than the sum of its proper divisors (13197968975618).

54991345828225 is an frugal number, since it uses more digits than its factorization.

54991345828225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966256 (or 1483128 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 67.

The spelling of 54991345828225 in words is "fifty-four trillion, nine hundred ninety-one billion, three hundred forty-five million, eight hundred twenty-eight thousand, two hundred twenty-five".