51355380577 has 2 divisors, whose sum is σ = 51355380578. Its totient is φ = 51355380576.

The previous prime is 51355380541. The next prime is 51355380613. The reversal of 51355380577 is 77508355315.

It is a balanced prime because it is at equal distance from previous prime (51355380541) and next prime (51355380613).

It can be written as a sum of positive squares in only one way, i.e., 37196522496 + 14158858081 = 192864^2 + 118991^2 .

It is a cyclic number.

It is not a de Polignac number, because 51355380577 - 2⁷ = 51355380449 is a prime.

It is a super-2 number, since 2×51355380577² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51355380577.

It is not a weakly prime, because it can be changed into another prime (51355380977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25677690288 + 25677690289.

It is an arithmetic number, because the mean of its divisors is an integer number (25677690289).

Almost surely, 2^51355380577 is an apocalyptic number.

It is an amenable number.

51355380577 is a deficient number, since it is larger than the sum of its proper divisors (1).

51355380577 is an equidigital number, since it uses as much as digits as its factorization.

51355380577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205000, while the sum is 49.

The spelling of 51355380577 in words is "fifty-one billion, three hundred fifty-five million, three hundred eighty thousand, five hundred seventy-seven".