54692838225 has 45 divisors (see below), whose sum is σ = 101329540257. Its totient is φ = 29163900960.

The previous prime is 54692838203. The next prime is 54692838241. The reversal of 54692838225 is 52283829645.

The square root of 54692838225 is 233865.

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

54692838225 is a `hidden beast` number, since 5 + 469 + 2 + 83 + 82 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1840667409 + 52852170816 = 42903^2 + 229896^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 54692838225 - 2⁷ = 54692838097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10521327 + ... + 10526523.

Almost surely, 2^54692838225 is an apocalyptic number.

54692838225 is the 233865-th square number.

54692838225 is the 116933-rd centered octagonal number.

It is an amenable number.

54692838225 is a deficient number, since it is larger than the sum of its proper divisors (46636702032).

54692838225 is an frugal number, since it uses more digits than its factorization.

54692838225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10416 (or 5205 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 54692838225 in words is "fifty-four billion, six hundred ninety-two million, eight hundred thirty-eight thousand, two hundred twenty-five".