541185336409 has 3 divisors (see below), whose sum is σ = 541186072063. Its totient is φ = 541184600756.

The previous prime is 541185336353. The next prime is 541185336431. The reversal of 541185336409 is 904633581145.

The square root of 541185336409 is 735653.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 94196817225 + 446988519184 = 306915^2 + 668572^2 .

It is not a de Polignac number, because 541185336409 - 2¹⁵ = 541185303641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541185336479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 367827 + ... + 1103479.

Almost surely, 2^541185336409 is an apocalyptic number.

541185336409 is the 735653-rd square number.

541185336409 is the 367827-th centered octagonal number.

It is an amenable number.

541185336409 is a deficient number, since it is larger than the sum of its proper divisors (735654).

541185336409 is an frugal number, since it uses more digits than its factorization.

541185336409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471306 (or 735653 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 541185336409 by its sum of digits (49), we get a square (26518081484041 = 5149571²).

The spelling of 541185336409 in words is "five hundred forty-one billion, one hundred eighty-five million, three hundred thirty-six thousand, four hundred nine".