54305311225 has 81 divisors (see below), whose sum is σ = 78469319439. Its totient is φ = 37248314400.

The previous prime is 54305311219. The next prime is 54305311253. The reversal of 54305311225 is 52211350345.

The square root of 54305311225 is 233035.

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., 19549912041 + 34755399184 = 139821^2 + 186428^2 .

It is not a de Polignac number, because 54305311225 - 2³ = 54305311217 is a prime.

It is a super-2 number, since 2×54305311225² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 243521464 + ... + 243521686.

Almost surely, 2^54305311225 is an apocalyptic number.

54305311225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54305311225 is the 233035-th square number.

54305311225 is the 116518-th centered octagonal number.

It is an amenable number.

54305311225 is a deficient number, since it is larger than the sum of its proper divisors (24164008214).

54305311225 is a wasteful number, since it uses less digits than its factorization.

54305311225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 54305311225 in words is "fifty-four billion, three hundred five million, three hundred eleven thousand, two hundred twenty-five".