54937541 has 2 divisors, whose sum is σ = 54937542. Its totient is φ = 54937540.

The previous prime is 54937517. The next prime is 54937559. The reversal of 54937541 is 14573945.

54937541 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 can be written as a sum of positive squares in only one way, i.e., 46648900 + 8288641 = 6830^2 + 2879^2 .

It is a cyclic number.

It is not a de Polignac number, because 54937541 - 2²² = 50743237 is a prime.

It is a super-2 number, since 2×54937541² = 6036266822253362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54937495 and 54937504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54937511) 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, 27468770 + 27468771.

It is an arithmetic number, because the mean of its divisors is an integer number (27468771).

Almost surely, 2^54937541 is an apocalyptic number.

It is an amenable number.

54937541 is a deficient number, since it is larger than the sum of its proper divisors (1).

54937541 is an equidigital number, since it uses as much as digits as its factorization.

54937541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 38.

The square root of 54937541 is about 7411.9863059776. The cubic root of 54937541 is about 380.1512348165.

The spelling of 54937541 in words is "fifty-four million, nine hundred thirty-seven thousand, five hundred forty-one".