541543202345145 has 384 divisors, whose sum is σ = 1231862675484672. Its totient is φ = 197429323069440.

The previous prime is 541543202345099. The next prime is 541543202345149.

It is a happy number.

541543202345145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541543202345145 - 2²² = 541543198150841 is a prime.

It is a super-2 number, since 2×541543202345145² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 541543202345094 and 541543202345103.

It is not an unprimeable number, because it can be changed into a prime (541543202345149) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 261747094 + ... + 263807936.

It is an arithmetic number, because the mean of its divisors is an integer number (3207975717408).

Almost surely, 2^{541543202345145} is an apocalyptic number.

541543202345145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541543202345145 is an abundant number, since it is smaller than the sum of its proper divisors (690319473139527).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541543202345145 is a wasteful number, since it uses less digits than its factorization.

541543202345145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060973 (or 2060962 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

It can be divided in two parts, 54154320 and 2345145, that added together give a palindrome (56499465).

The spelling of 541543202345145 in words is "five hundred forty-one trillion, five hundred forty-three billion, two hundred two million, three hundred forty-five thousand, one hundred forty-five".