541853515449 has 27 divisors (see below), whose sum is σ = 810692638509. Its totient is φ = 348738052320.

The previous prime is 541853515409. The next prime is 541853515457. The reversal of 541853515449 is 944515358145.

The square root of 541853515449 is 736107.

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

541853515449 is a `hidden beast` number, since 5 + 4 + 1 + 85 + 3 + 515 + 4 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79725475449 + 462128040000 = 282357^2 + 679800^2 .

It is not a de Polignac number, because 541853515449 - 2¹¹ = 541853513401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541853515395 and 541853515404.

It is not an unprimeable number, because it can be changed into a prime (541853515409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64037079 + ... + 64045539.

Almost surely, 2^541853515449 is an apocalyptic number.

541853515449 is the 736107-th square number.

541853515449 is the 368054-th centered octagonal number.

It is an amenable number.

541853515449 is a deficient number, since it is larger than the sum of its proper divisors (268839123060).

541853515449 is an frugal number, since it uses more digits than its factorization.

541853515449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16986 (or 8493 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

The spelling of 541853515449 in words is "five hundred forty-one billion, eight hundred fifty-three million, five hundred fifteen thousand, four hundred forty-nine".