541058850145 has 96 divisors (see below), whose sum is σ = 781217740800. Its totient is φ = 357852211200.

The previous prime is 541058850131. The next prime is 541058850149.

It is a happy number.

541058850145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541058850145 - 2⁹ = 541058849633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541058850095 and 541058850104.

It is not an unprimeable number, because it can be changed into a prime (541058850149) 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, 386746156 + ... + 386747554.

It is an arithmetic number, because the mean of its divisors is an integer number (8137684800).

Almost surely, 2^541058850145 is an apocalyptic number.

541058850145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541058850145 is a deficient number, since it is larger than the sum of its proper divisors (240158890655).

541058850145 is a wasteful number, since it uses less digits than its factorization.

541058850145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 46.

The spelling of 541058850145 in words is "five hundred forty-one billion, fifty-eight million, eight hundred fifty thousand, one hundred forty-five".