65506611105 has 48 divisors (see below), whose sum is σ = 129471909840. Its totient is φ = 30352379904.

The previous prime is 65506611091. The next prime is 65506611151. The reversal of 65506611105 is 50111660556.

It can be written as a sum of positive squares in 8 ways, for example, as 1923962769 + 63582648336 = 43863^2 + 252156^2 .

It is not a de Polignac number, because 65506611105 - 2¹⁴ = 65506594721 is a prime.

It is a super-2 number, since 2×65506611105² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 65506611105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3283500 + ... + 3303389.

It is an arithmetic number, because the mean of its divisors is an integer number (2697331455).

Almost surely, 2^65506611105 is an apocalyptic number.

65506611105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65506611105 is a deficient number, since it is larger than the sum of its proper divisors (63965298735).

65506611105 is a wasteful number, since it uses less digits than its factorization.

65506611105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586930 (or 6586927 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 65506611105 in words is "sixty-five billion, five hundred six million, six hundred eleven thousand, one hundred five".