51457390953677 has 2 divisors, whose sum is σ = 51457390953678. Its totient is φ = 51457390953676.

The previous prime is 51457390953667. The next prime is 51457390953763. The reversal of 51457390953677 is 77635909375415.

51457390953677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39522169395556 + 11935221558121 = 6286666^2 + 3454739^2 .

It is a cyclic number.

It is not a de Polignac number, because 51457390953677 - 2²⁶ = 51457323844813 is a prime.

It is a super-3 number, since 3×51457390953677³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51457390953677.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51457390953667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25728695476838 + 25728695476839.

It is an arithmetic number, because the mean of its divisors is an integer number (25728695476839).

Almost surely, 2^{51457390953677} is an apocalyptic number.

It is an amenable number.

51457390953677 is a deficient number, since it is larger than the sum of its proper divisors (1).

51457390953677 is an equidigital number, since it uses as much as digits as its factorization.

51457390953677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750141000, while the sum is 71.

The spelling of 51457390953677 in words is "fifty-one trillion, four hundred fifty-seven billion, three hundred ninety million, nine hundred fifty-three thousand, six hundred seventy-seven".