54037331 has 2 divisors, whose sum is σ = 54037332. Its totient is φ = 54037330.

The previous prime is 54037307. The next prime is 54037337. The reversal of 54037331 is 13373045.

54037331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-54037331 is a prime.

It is a super-2 number, since 2×54037331² = 5840066283207122, which contains 22 as substring.

It is equal to p_3228272 and since 54037331 and 3228272 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54037331.

It is not a weakly prime, because it can be changed into another prime (54037337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27018665 + 27018666.

It is an arithmetic number, because the mean of its divisors is an integer number (27018666).

Almost surely, 2^54037331 is an apocalyptic number.

54037331 is a deficient number, since it is larger than the sum of its proper divisors (1).

54037331 is an equidigital number, since it uses as much as digits as its factorization.

54037331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 54037331 is about 7351.0088423291. The cubic root of 54037331 is about 378.0633951137.

The spelling of 54037331 in words is "fifty-four million, thirty-seven thousand, three hundred thirty-one".