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610413314029 is a prime number
BaseRepresentation
bin10001110000111110111…
…01111111111111101101
32011100120202100012212121
420320133131333333231
540000111302022104
61144230415432541
762046416363101
oct10703735777755
92140522305777
10610413314029
11215969447552
129a376225751
134573c16b39c
1421789275901
1510d2916e254
hex8e1f77ffed

610413314029 has 2 divisors, whose sum is σ = 610413314030. Its totient is φ = 610413314028.

The previous prime is 610413313997. The next prime is 610413314033. The reversal of 610413314029 is 920413314016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 585355057225 + 25058256804 = 765085^2 + 158298^2 .

It is a cyclic number.

It is not a de Polignac number, because 610413314029 - 25 = 610413313997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 610413313985 and 610413314003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (610413314729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305206657014 + 305206657015.

It is an arithmetic number, because the mean of its divisors is an integer number (305206657015).

Almost surely, 2610413314029 is an apocalyptic number.

It is an amenable number.

610413314029 is a deficient number, since it is larger than the sum of its proper divisors (1).

610413314029 is an equidigital number, since it uses as much as digits as its factorization.

610413314029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 610413314029 in words is "six hundred ten billion, four hundred thirteen million, three hundred fourteen thousand, twenty-nine".