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1353613645829 is a prime number
BaseRepresentation
bin10011101100101001101…
…010010001100000000101
311210101220122212212000102
4103230221222101200011
5134134200043131304
62513501434053445
7166536544101614
oct23545152214005
94711818785012
101353613645829
114820786838a5
1219a40a57a285
139a850714423
144972dbbb87b
1525325b74d1e
hex13b29a91805

1353613645829 has 2 divisors, whose sum is σ = 1353613645830. Its totient is φ = 1353613645828.

The previous prime is 1353613645823. The next prime is 1353613645877. The reversal of 1353613645829 is 9285463163531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1084566030625 + 269047615204 = 1041425^2 + 518698^2 .

It is a cyclic number.

It is not a de Polignac number, because 1353613645829 - 212 = 1353613641733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1353613645823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 676806822914 + 676806822915.

It is an arithmetic number, because the mean of its divisors is an integer number (676806822915).

Almost surely, 21353613645829 is an apocalyptic number.

It is an amenable number.

1353613645829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1353613645829 is an equidigital number, since it uses as much as digits as its factorization.

1353613645829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13996800, while the sum is 56.

The spelling of 1353613645829 in words is "one trillion, three hundred fifty-three billion, six hundred thirteen million, six hundred forty-five thousand, eight hundred twenty-nine".