10585434077 has 2 divisors, whose sum is σ = 10585434078. Its totient is φ = 10585434076.

The previous prime is 10585434061. The next prime is 10585434089. The reversal of 10585434077 is 77043458501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6081816196 + 4503617881 = 77986^2 + 67109^2 .

It is a cyclic number.

It is not a de Polignac number, because 10585434077 - 2⁴ = 10585434061 is a prime.

It is a super-2 number, since 2×10585434077² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10585434017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292717038 + 5292717039.

It is an arithmetic number, because the mean of its divisors is an integer number (5292717039).

Almost surely, 2^10585434077 is an apocalyptic number.

It is an amenable number.

10585434077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585434077 is an equidigital number, since it uses as much as digits as its factorization.

10585434077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 470400, while the sum is 44.

It can be divided in two parts, 105854 and 34077, that added together give a palindrome (139931).

The spelling of 10585434077 in words is "ten billion, five hundred eighty-five million, four hundred thirty-four thousand, seventy-seven".