541144211132035 has 16 divisors (see below), whose sum is σ = 754306872288192. Its totient is φ = 364987196265600.

The previous prime is 541144211132017. The next prime is 541144211132053. The reversal of 541144211132035 is 530231112441145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (541144211132017) and next prime (541144211132053).

It is not a de Polignac number, because 541144211132035 - 2³³ = 541135621197443 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541144211131985 and 541144211132003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126731663236 + ... + 126731667505.

It is an arithmetic number, because the mean of its divisors is an integer number (47144179518012).

Almost surely, 2^{541144211132035} is an apocalyptic number.

541144211132035 is a deficient number, since it is larger than the sum of its proper divisors (213162661156157).

541144211132035 is a wasteful number, since it uses less digits than its factorization.

541144211132035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253463330814.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 541144211132035 in words is "five hundred forty-one trillion, one hundred forty-four billion, two hundred eleven million, one hundred thirty-two thousand, thirty-five".