541501635204255 has 192 divisors, whose sum is σ = 982438519910400. Its totient is φ = 254399460480000.

The previous prime is 541501635204227. The next prime is 541501635204259. The reversal of 541501635204255 is 552402536105145.

It is not a de Polignac number, because 541501635204255 - 2¹⁰ = 541501635203231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541501635204259) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2225139114 + ... + 2225382456.

It is an arithmetic number, because the mean of its divisors is an integer number (5116867291200).

Almost surely, 2^{541501635204255} is an apocalyptic number.

541501635204255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

541501635204255 is a deficient number, since it is larger than the sum of its proper divisors (440936884706145).

541501635204255 is a wasteful number, since it uses less digits than its factorization.

541501635204255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243734 (or 243723 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 48.

The spelling of 541501635204255 in words is "five hundred forty-one trillion, five hundred one billion, six hundred thirty-five million, two hundred four thousand, two hundred fifty-five".