135514505415531 has 24 divisors (see below), whose sum is σ = 200121351579072. Its totient is φ = 81503056663600.

The previous prime is 135514505415473. The next prime is 135514505415551.

135514505415531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135514505415531 - 2²² = 135514501221227 is a prime.

It is a super-2 number, since 2×135514505415531² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135514505415551) 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, 1424831061 + ... + 1424926166.

It is an arithmetic number, because the mean of its divisors is an integer number (8338389649128).

Almost surely, 2^{135514505415531} is an apocalyptic number.

135514505415531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135514505415531 is a deficient number, since it is larger than the sum of its proper divisors (64606846163541).

135514505415531 is a wasteful number, since it uses less digits than its factorization.

135514505415531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849757383 (or 2849757372 counting only the distinct ones).

The product of its (nonzero) digits is 2250000, while the sum is 48.

It can be divided in two parts, 13551450 and 5415531, that added together give a palindrome (18966981).

The spelling of 135514505415531 in words is "one hundred thirty-five trillion, five hundred fourteen billion, five hundred five million, four hundred fifteen thousand, five hundred thirty-one".