541815238561 has 9 divisors (see below), whose sum is σ = 543150087001. Its totient is φ = 540483668032.

The previous prime is 541815238543. The next prime is 541815238631. The reversal of 541815238561 is 165832518145.

The square root of 541815238561 is 736081.

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

It can be written as a sum of positive squares in 4 ways, for example, as 173123398561 + 368691840000 = 416081^2 + 607200^2 .

It is not a de Polignac number, because 541815238561 - 2¹¹ = 541815236513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541815235561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 454161381 + ... + 454162573.

Almost surely, 2^541815238561 is an apocalyptic number.

541815238561 is the 736081-st square number.

541815238561 is the 368041-st centered octagonal number.

It is an amenable number.

541815238561 is a deficient number, since it is larger than the sum of its proper divisors (1334848440).

541815238561 is an frugal number, since it uses more digits than its factorization.

541815238561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 1810 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 49.

Multiplying 541815238561 by its sum of digits (49), we get a square (26548946689489 = 5152567²).

The spelling of 541815238561 in words is "five hundred forty-one billion, eight hundred fifteen million, two hundred thirty-eight thousand, five hundred sixty-one".