53777813 has 2 divisors, whose sum is σ = 53777814. Its totient is φ = 53777812.

The previous prime is 53777797. The next prime is 53777819. The reversal of 53777813 is 31877735.

53777813 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., 52157284 + 1620529 = 7222^2 + 1273^2 .

It is a cyclic number.

It is not a de Polignac number, because 53777813 - 2⁴ = 53777797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53777819) 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, 26888906 + 26888907.

It is an arithmetic number, because the mean of its divisors is an integer number (26888907).

Almost surely, 2^53777813 is an apocalyptic number.

It is an amenable number.

53777813 is a deficient number, since it is larger than the sum of its proper divisors (1).

53777813 is an equidigital number, since it uses as much as digits as its factorization.

53777813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 123480, while the sum is 41.

The square root of 53777813 is about 7333.3357348481. The cubic root of 53777813 is about 377.4571984863.

The spelling of 53777813 in words is "fifty-three million, seven hundred seventy-seven thousand, eight hundred thirteen".