541461977281 has 9 divisors (see below), whose sum is σ = 542840762881. Its totient is φ = 540086690452.

The previous prime is 541461977269. The next prime is 541461977293. The reversal of 541461977281 is 182779164145.

The square root of 541461977281 is 735841.

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

It is an interprime number because it is at equal distance from previous prime (541461977269) and next prime (541461977293).

It is not a de Polignac number, because 541461977281 - 2²³ = 541453588673 is a prime.

It is a super-2 number, since 2×541461977281² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541461977261) 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 8 ways as a sum of consecutive naturals, for example, 414277830 + ... + 414279136.

Almost surely, 2^541461977281 is an apocalyptic number.

541461977281 is the 735841-st square number.

541461977281 is the 367921-st centered octagonal number.

It is an amenable number.

541461977281 is a deficient number, since it is larger than the sum of its proper divisors (1378785600).

541461977281 is an frugal number, since it uses more digits than its factorization.

541461977281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 1870 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 55.

The spelling of 541461977281 in words is "five hundred forty-one billion, four hundred sixty-one million, nine hundred seventy-seven thousand, two hundred eighty-one".