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540744961 is a prime number
BaseRepresentation
bin100000001110110…
…001110100000001
31101200111200122011
4200032301310001
52101412314321
6125354012521
716254153631
oct4016616401
91350450564
10540744961
11258266769
12131117141
138804ca43
1451b606c1
1532715ae1
hex203b1d01

540744961 has 2 divisors, whose sum is σ = 540744962. Its totient is φ = 540744960.

The previous prime is 540744947. The next prime is 540744979. The reversal of 540744961 is 169447045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 491464561 + 49280400 = 22169^2 + 7020^2 .

It is a cyclic number.

It is not a de Polignac number, because 540744961 - 223 = 532356353 is a prime.

It is a super-2 number, since 2×5407449612 = 584810225693783042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (540744901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270372480 + 270372481.

It is an arithmetic number, because the mean of its divisors is an integer number (270372481).

Almost surely, 2540744961 is an apocalyptic number.

It is an amenable number.

540744961 is a deficient number, since it is larger than the sum of its proper divisors (1).

540744961 is an equidigital number, since it uses as much as digits as its factorization.

540744961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 540744961 is about 23253.9235614122. The cubic root of 540744961 is about 814.6995824026.

The spelling of 540744961 in words is "five hundred forty million, seven hundred forty-four thousand, nine hundred sixty-one".