54137813 has 2 divisors, whose sum is σ = 54137814. Its totient is φ = 54137812.

The previous prime is 54137803. The next prime is 54137833. The reversal of 54137813 is 31873145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49885969 + 4251844 = 7063^2 + 2062^2 .

It is a cyclic number.

It is not a de Polignac number, because 54137813 - 2¹⁴ = 54121429 is a prime.

It is equal to p_3233948 and since 54137813 and 3233948 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 54137813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54137803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27068906 + 27068907.

It is an arithmetic number, because the mean of its divisors is an integer number (27068907).

Almost surely, 2^54137813 is an apocalyptic number.

It is an amenable number.

54137813 is a deficient number, since it is larger than the sum of its proper divisors (1).

54137813 is an equidigital number, since it uses as much as digits as its factorization.

54137813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 32.

The square root of 54137813 is about 7357.8402401792. The cubic root of 54137813 is about 378.2975853372.

The spelling of 54137813 in words is "fifty-four million, one hundred thirty-seven thousand, eight hundred thirteen".