541137305 has 16 divisors (see below), whose sum is σ = 654832080. Its totient is φ = 429282048.

The previous prime is 541137299. The next prime is 541137313. The reversal of 541137305 is 503731145.

It can be written as a sum of positive squares in 8 ways, for example, as 137288089 + 403849216 = 11717^2 + 20096^2 .

It is a cyclic number.

It is not a de Polignac number, because 541137305 - 2²⁶ = 474028441 is a prime.

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, 334679 + ... + 336291.

It is an arithmetic number, because the mean of its divisors is an integer number (40927005).

Almost surely, 2^541137305 is an apocalyptic number.

It is an amenable number.

541137305 is a deficient number, since it is larger than the sum of its proper divisors (113694775).

541137305 is a wasteful number, since it uses less digits than its factorization.

541137305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 541137305 is about 23262.3581134845. The cubic root of 541137305 is about 814.8965731224.

The spelling of 541137305 in words is "five hundred forty-one million, one hundred thirty-seven thousand, three hundred five".