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501141121529 is a prime number
BaseRepresentation
bin1110100101011100101…
…01101010100111111001
31202220112101102200200212
413102232111222213321
531202314111342104
61022115425240505
751130513151306
oct7225625524771
91686471380625
10501141121529
11183595109a44
128115b193135
1338346698909
141a3809c80ad
15d080ddd36e
hex74ae56a9f9

501141121529 has 2 divisors, whose sum is σ = 501141121530. Its totient is φ = 501141121528.

The previous prime is 501141121511. The next prime is 501141121531. The reversal of 501141121529 is 925121141105.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 470602860025 + 30538261504 = 686005^2 + 174752^2 .

It is a cyclic number.

It is not a de Polignac number, because 501141121529 - 224 = 501124344313 is a prime.

It is a super-2 number, since 2×5011411215292 (a number of 24 digits) contains 22 as substring.

Together with 501141121531, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 501141121495 and 501141121504.

It is not a weakly prime, because it can be changed into another prime (501141121549) 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, 250570560764 + 250570560765.

It is an arithmetic number, because the mean of its divisors is an integer number (250570560765).

Almost surely, 2501141121529 is an apocalyptic number.

It is an amenable number.

501141121529 is a deficient number, since it is larger than the sum of its proper divisors (1).

501141121529 is an equidigital number, since it uses as much as digits as its factorization.

501141121529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 32.

The spelling of 501141121529 in words is "five hundred one billion, one hundred forty-one million, one hundred twenty-one thousand, five hundred twenty-nine".