291363527961 has 45 divisors (see below), whose sum is σ = 463252932805. Its totient is φ = 176465204520.

The previous prime is 291363527929. The next prime is 291363527977. The reversal of 291363527961 is 169725363192.

The square root of 291363527961 is 539781.

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

291363527961 is a `hidden beast` number, since 2 + 9 + 1 + 363 + 5 + 279 + 6 + 1 = 666.

It is not a de Polignac number, because 291363527961 - 2⁵ = 291363527929 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (3674160) is a multiple of the sum of its prime factors (3024).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 291363527898 and 291363527907.

It is not an unprimeable number, because it can be changed into a prime (291363027961) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 195939760 + ... + 195941246.

Almost surely, 2^291363527961 is an apocalyptic number.

291363527961 is the 539781-st square number.

291363527961 is the 269891-st centered octagonal number.

It is an amenable number.

291363527961 is a deficient number, since it is larger than the sum of its proper divisors (171889404844).

291363527961 is an frugal number, since it uses more digits than its factorization.

291363527961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 1501 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 291363527961 in words is "two hundred ninety-one billion, three hundred sixty-three million, five hundred twenty-seven thousand, nine hundred sixty-one".