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509127915041 is a prime number
BaseRepresentation
bin1110110100010100110…
…00110111011000100001
31210200010222222211200222
413122022120313120201
531320143221240131
61025520134052425
751532443605504
oct7321230673041
91720128884628
10509127915041
11186a13487139
1282809aaa115
133901a266835
141a8db61513b
15d39c17a87b
hex768a637621

509127915041 has 2 divisors, whose sum is σ = 509127915042. Its totient is φ = 509127915040.

The previous prime is 509127915013. The next prime is 509127915071. The reversal of 509127915041 is 140519721905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 369061110016 + 140066805025 = 607504^2 + 374255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-509127915041 is a prime.

It is a super-2 number, since 2×5091279150412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 509127914983 and 509127915001.

It is not a weakly prime, because it can be changed into another prime (509127915071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254563957520 + 254563957521.

It is an arithmetic number, because the mean of its divisors is an integer number (254563957521).

Almost surely, 2509127915041 is an apocalyptic number.

It is an amenable number.

509127915041 is a deficient number, since it is larger than the sum of its proper divisors (1).

509127915041 is an equidigital number, since it uses as much as digits as its factorization.

509127915041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 44.

The spelling of 509127915041 in words is "five hundred nine billion, one hundred twenty-seven million, nine hundred fifteen thousand, forty-one".