541918294801 has 27 divisors (see below), whose sum is σ = 623546907633. Its totient is φ = 470665503360.

The previous prime is 541918294787. The next prime is 541918294807. The reversal of 541918294801 is 108492819145.

The square root of 541918294801 is 736151.

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 4893142401 + 537025152400 = 69951^2 + 732820^2 .

It is not a de Polignac number, because 541918294801 - 2¹¹ = 541918292753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (541918294807) 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, 162687706 + ... + 162691036.

Almost surely, 2^541918294801 is an apocalyptic number.

541918294801 is the 736151-st square number.

541918294801 is the 368076-th centered octagonal number.

It is an amenable number.

541918294801 is a deficient number, since it is larger than the sum of its proper divisors (81628612832).

541918294801 is an frugal number, since it uses more digits than its factorization.

541918294801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 52.

The spelling of 541918294801 in words is "five hundred forty-one billion, nine hundred eighteen million, two hundred ninety-four thousand, eight hundred one".