541531135145 has 96 divisors (see below), whose sum is σ = 901570279680. Its totient is φ = 301555699200.

The previous prime is 541531135139. The next prime is 541531135153.

541531135145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541531135145 - 2²⁶ = 541464026281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541531135099 and 541531135108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4753511 + ... + 4866099.

It is an arithmetic number, because the mean of its divisors is an integer number (9391357080).

Almost surely, 2^541531135145 is an apocalyptic number.

541531135145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541531135145 is a deficient number, since it is larger than the sum of its proper divisors (360039144535).

541531135145 is a wasteful number, since it uses less digits than its factorization.

541531135145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112687 (or 112656 counting only the distinct ones).

The product of its digits is 90000, while the sum is 38.

It can be divided in two parts, 541531 and 135145, that added together give a palindrome (676676).

The spelling of 541531135145 in words is "five hundred forty-one billion, five hundred thirty-one million, one hundred thirty-five thousand, one hundred forty-five".