135611545116531 has 96 divisors (see below), whose sum is σ = 205570520064000. Its totient is φ = 79378082150400.

The previous prime is 135611545116527. The next prime is 135611545116547.

135611545116531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135611545116531 - 2² = 135611545116527 is a prime.

It is a super-2 number, since 2×135611545116531² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135611545216531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12264762955 + ... + 12264774011.

It is an arithmetic number, because the mean of its divisors is an integer number (2141359584000).

Almost surely, 2^{135611545116531} is an apocalyptic number.

135611545116531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135611545116531 is a deficient number, since it is larger than the sum of its proper divisors (69958974947469).

135611545116531 is a wasteful number, since it uses less digits than its factorization.

135611545116531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13201 (or 13190 counting only the distinct ones).

The product of its digits is 810000, while the sum is 48.

The spelling of 135611545116531 in words is "one hundred thirty-five trillion, six hundred eleven billion, five hundred forty-five million, one hundred sixteen thousand, five hundred thirty-one".