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516556129 is a prime number
BaseRepresentation
bin11110110010100…
…000010101100001
31022222222202210111
4132302200111201
52024214244004
6123131331321
715541440355
oct3662402541
91288882714
10516556129
112456452a1
12124bb0b41
1383030b1b
144c865465
1530538a04
hex1eca0561

516556129 has 2 divisors, whose sum is σ = 516556130. Its totient is φ = 516556128.

The previous prime is 516556121. The next prime is 516556141. The reversal of 516556129 is 921655615.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 379197729 + 137358400 = 19473^2 + 11720^2 .

It is a cyclic number.

It is not a de Polignac number, because 516556129 - 23 = 516556121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 516556091 and 516556100.

It is not a weakly prime, because it can be changed into another prime (516556121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258278064 + 258278065.

It is an arithmetic number, because the mean of its divisors is an integer number (258278065).

Almost surely, 2516556129 is an apocalyptic number.

It is an amenable number.

516556129 is a deficient number, since it is larger than the sum of its proper divisors (1).

516556129 is an equidigital number, since it uses as much as digits as its factorization.

516556129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81000, while the sum is 40.

The square root of 516556129 is about 22727.8711937568. The cubic root of 516556129 is about 802.3659796315.

The spelling of 516556129 in words is "five hundred sixteen million, five hundred fifty-six thousand, one hundred twenty-nine".