511105101077 has 2 divisors, whose sum is σ = 511105101078. Its totient is φ = 511105101076.

The previous prime is 511105101043. The next prime is 511105101083. The reversal of 511105101077 is 770101501115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 354404711761 + 156700389316 = 595319^2 + 395854^2 .

It is a cyclic number.

It is not a de Polignac number, because 511105101077 - 2¹⁰ = 511105100053 is a prime.

It is a super-2 number, since 2×511105101077² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (511105101007) 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, 255552550538 + 255552550539.

It is an arithmetic number, because the mean of its divisors is an integer number (255552550539).

Almost surely, 2^511105101077 is an apocalyptic number.

It is an amenable number.

511105101077 is a deficient number, since it is larger than the sum of its proper divisors (1).

511105101077 is an equidigital number, since it uses as much as digits as its factorization.

511105101077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1225, while the sum is 29.

The spelling of 511105101077 in words is "five hundred eleven billion, one hundred five million, one hundred one thousand, seventy-seven".