1017077077 has 2 divisors, whose sum is σ = 1017077078. Its totient is φ = 1017077076.

The previous prime is 1017077063. The next prime is 1017077081. The reversal of 1017077077 is 7707707101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 981005041 + 36072036 = 31321^2 + 6006^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017077077 - 2¹¹ = 1017075029 is a prime.

It is a super-3 number, since 3×1017077077³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017075077) 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, 508538538 + 508538539.

It is an arithmetic number, because the mean of its divisors is an integer number (508538539).

Almost surely, 2^1017077077 is an apocalyptic number.

It is an amenable number.

1017077077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017077077 is an equidigital number, since it uses as much as digits as its factorization.

1017077077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16807, while the sum is 37.

The square root of 1017077077 is about 31891.6458810140. The cubic root of 1017077077 is about 1005.6602600078.

The spelling of 1017077077 in words is "one billion, seventeen million, seventy-seven thousand, seventy-seven".