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510506100001 is a prime number
BaseRepresentation
bin1110110110111001000…
…10001110010100100001
31210210201001021220001101
413123130202032110201
531331004030200001
61030305005234401
751611550152452
oct7333442162441
91723631256041
10510506100001
11187560425977
1282b33562a01
13391a99479b1
141a9cc689129
15d42d161a01
hex76dc88e521

510506100001 has 2 divisors, whose sum is σ = 510506100002. Its totient is φ = 510506100000.

The previous prime is 510506099989. The next prime is 510506100011. The reversal of 510506100001 is 100001605015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 439302514401 + 71203585600 = 662799^2 + 266840^2 .

It is a cyclic number.

It is not a de Polignac number, because 510506100001 - 211 = 510506097953 is a prime.

It is not a weakly prime, because it can be changed into another prime (510506100011) 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, 255253050000 + 255253050001.

It is an arithmetic number, because the mean of its divisors is an integer number (255253050001).

Almost surely, 2510506100001 is an apocalyptic number.

It is an amenable number.

510506100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

510506100001 is an equidigital number, since it uses as much as digits as its factorization.

510506100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 510506100001 its reverse (100001605015), we get a palindrome (610507705016).

The spelling of 510506100001 in words is "five hundred ten billion, five hundred six million, one hundred thousand, one".