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540542413 is a prime number
BaseRepresentation
bin100000001110000…
…000010111001101
31101200010101210101
4200032000113031
52101334324123
6125345411101
716252351255
oct4016002715
91350111711
10540542413
11258138574
12131039a91
1387cab7a8
1451b0a965
15326c5aad
hex203805cd

540542413 has 2 divisors, whose sum is σ = 540542414. Its totient is φ = 540542412.

The previous prime is 540542371. The next prime is 540542417. The reversal of 540542413 is 314245045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 411197284 + 129345129 = 20278^2 + 11373^2 .

It is a cyclic number.

It is not a de Polignac number, because 540542413 - 221 = 538445261 is a prime.

It is a super-2 number, since 2×5405424132 = 584372200503725138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540542417) 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, 270271206 + 270271207.

It is an arithmetic number, because the mean of its divisors is an integer number (270271207).

Almost surely, 2540542413 is an apocalyptic number.

It is an amenable number.

540542413 is a deficient number, since it is larger than the sum of its proper divisors (1).

540542413 is an equidigital number, since it uses as much as digits as its factorization.

540542413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 540542413 is about 23249.5680174923. The cubic root of 540542413 is about 814.5978484426.

Adding to 540542413 its reverse (314245045), we get a palindrome (854787458).

The spelling of 540542413 in words is "five hundred forty million, five hundred forty-two thousand, four hundred thirteen".