541345011152335 has 64 divisors (see below), whose sum is σ = 718817959069056. Its totient is φ = 388904465664000.

The previous prime is 541345011152329. The next prime is 541345011152353. The reversal of 541345011152335 is 533251110543145.

It is a happy number.

It is not a de Polignac number, because 541345011152335 - 2⁹ = 541345011151823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541345011152291 and 541345011152300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546926385 + ... + 547915285.

It is an arithmetic number, because the mean of its divisors is an integer number (11231530610454).

Almost surely, 2^{541345011152335} is an apocalyptic number.

541345011152335 is a deficient number, since it is larger than the sum of its proper divisors (177472947916721).

541345011152335 is a wasteful number, since it uses less digits than its factorization.

541345011152335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990316.

The product of its (nonzero) digits is 540000, while the sum is 43.

The spelling of 541345011152335 in words is "five hundred forty-one trillion, three hundred forty-five billion, eleven million, one hundred fifty-two thousand, three hundred thirty-five".