135066525561 has 24 divisors (see below), whose sum is σ = 217360450944. Its totient is φ = 80116827360.

The previous prime is 135066525553. The next prime is 135066525577. The reversal of 135066525561 is 165525660531.

135066525561 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 6 + 65 + 25 + 561 = 666.

It is not a de Polignac number, because 135066525561 - 2³ = 135066525553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135066525511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14509266 + ... + 14518571.

It is an arithmetic number, because the mean of its divisors is an integer number (9056685456).

Almost surely, 2^135066525561 is an apocalyptic number.

135066525561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135066525561 is a deficient number, since it is larger than the sum of its proper divisors (82293925383).

135066525561 is a wasteful number, since it uses less digits than its factorization.

135066525561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29027901 (or 29027898 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 135066525561 in words is "one hundred thirty-five billion, sixty-six million, five hundred twenty-five thousand, five hundred sixty-one".