11006510205135 has 32 divisors (see below), whose sum is σ = 17634939962112. Its totient is φ = 5861969867520.

The previous prime is 11006510205109. The next prime is 11006510205139. The reversal of 11006510205135 is 53150201560011.

It is not a de Polignac number, because 11006510205135 - 2⁷ = 11006510205007 is a prime.

It is a super-2 number, since 2×11006510205135² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006510205139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31332187 + ... + 31681523.

It is an arithmetic number, because the mean of its divisors is an integer number (551091873816).

Almost surely, 2^{11006510205135} is an apocalyptic number.

11006510205135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11006510205135 is a deficient number, since it is larger than the sum of its proper divisors (6628429756977).

11006510205135 is a wasteful number, since it uses less digits than its factorization.

11006510205135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352263.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 11006510205135 its reverse (53150201560011), we get a palindrome (64156711765146).

The spelling of 11006510205135 in words is "eleven trillion, six billion, five hundred ten million, two hundred five thousand, one hundred thirty-five".