541258101 has 24 divisors (see below), whose sum is σ = 798890040. Its totient is φ = 352999296.

The previous prime is 541258049. The next prime is 541258127. The reversal of 541258101 is 101852145.

It can be written as a sum of positive squares in 4 ways, for example, as 247307076 + 293951025 = 15726^2 + 17145^2 .

It is not a de Polignac number, because 541258101 - 2⁶ = 541258037 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541258181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184095 + ... + 187011.

It is an arithmetic number, because the mean of its divisors is an integer number (33287085).

Almost surely, 2^541258101 is an apocalyptic number.

It is an amenable number.

541258101 is a deficient number, since it is larger than the sum of its proper divisors (257631939).

541258101 is a wasteful number, since it uses less digits than its factorization.

541258101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 541258101 is about 23264.9543519862. The cubic root of 541258101 is about 814.9572040208.

It can be divided in two parts, 54125 and 8101, that added together give a palindrome (62226).

The spelling of 541258101 in words is "five hundred forty-one million, two hundred fifty-eight thousand, one hundred one".