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511361257160021 is a prime number
BaseRepresentation
bin111010001000101001001001…
…0000101011011110101010101
32111001120122210020022111120112
41310101102102011123311111
51014011120323313110041
65011324041332012405
7212465426440425062
oct16421222205336525
92431518706274515
10511361257160021
11138a32100562a64
12494292a2461105
1318c4420c95c398
14903c034555c69
153e1ba2e545deb
hex1d1149215bd55

511361257160021 has 2 divisors, whose sum is σ = 511361257160022. Its totient is φ = 511361257160020.

The previous prime is 511361257160011. The next prime is 511361257160041. The reversal of 511361257160021 is 120061752163115.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 462791313382225 + 48569943777796 = 21512585^2 + 6969214^2 .

It is a cyclic number.

It is not a de Polignac number, because 511361257160021 - 226 = 511361190051157 is a prime.

It is a super-2 number, since 2×5113612571600212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (511361257160011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255680628580010 + 255680628580011.

It is an arithmetic number, because the mean of its divisors is an integer number (255680628580011).

Almost surely, 2511361257160021 is an apocalyptic number.

It is an amenable number.

511361257160021 is a deficient number, since it is larger than the sum of its proper divisors (1).

511361257160021 is an equidigital number, since it uses as much as digits as its factorization.

511361257160021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 511361257160021 in words is "five hundred eleven trillion, three hundred sixty-one billion, two hundred fifty-seven million, one hundred sixty thousand, twenty-one".