54005257 has 2 divisors, whose sum is σ = 54005258. Its totient is φ = 54005256.

The previous prime is 54005207. The next prime is 54005267. The reversal of 54005257 is 75250045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42302016 + 11703241 = 6504^2 + 3421^2 .

It is a cyclic number.

It is not a de Polignac number, because 54005257 - 2⁷ = 54005129 is a prime.

It is equal to p_3226492 and since 54005257 and 3226492 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (54005207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27002628 + 27002629.

It is an arithmetic number, because the mean of its divisors is an integer number (27002629).

Almost surely, 2^54005257 is an apocalyptic number.

It is an amenable number.

54005257 is a deficient number, since it is larger than the sum of its proper divisors (1).

54005257 is an equidigital number, since it uses as much as digits as its factorization.

54005257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 54005257 is about 7348.8269131883. The cubic root of 54005257 is about 377.9885801352.

The spelling of 54005257 in words is "fifty-four million, five thousand, two hundred fifty-seven".