54561952225 has 81 divisors (see below), whose sum is σ = 77407886073. Its totient is φ = 38121072000.

The previous prime is 54561952169. The next prime is 54561952253. The reversal of 54561952225 is 52225916545.

The square root of 54561952225 is 233585.

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

It can be written as a sum of positive squares in 4 ways, for example, as 159188689 + 54402763536 = 12617^2 + 233244^2 .

It is not a de Polignac number, because 54561952225 - 2⁹ = 54561951713 is a prime.

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, 398262357 + ... + 398262493.

Almost surely, 2^54561952225 is an apocalyptic number.

54561952225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54561952225 is the 233585-th square number.

54561952225 is the 116793-rd centered octagonal number.

It is an amenable number.

54561952225 is a deficient number, since it is larger than the sum of its proper divisors (22845933848).

54561952225 is a wasteful number, since it uses less digits than its factorization.

54561952225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 46.

The spelling of 54561952225 in words is "fifty-four billion, five hundred sixty-one million, nine hundred fifty-two thousand, two hundred twenty-five".