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13254220829 is a prime number
BaseRepresentation
bin11000101100000001…
…10101110000011101
31021012201011011212202
430112000311300131
5204121040031304
610031111541245
7646311006143
oct142600656035
937181134782
1013254220829
115691731313
12269a98a825
131332c61625
148da423593
1552891b81e
hex316035c1d

13254220829 has 2 divisors, whose sum is σ = 13254220830. Its totient is φ = 13254220828.

The previous prime is 13254220823. The next prime is 13254220831. The reversal of 13254220829 is 92802245231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12453444025 + 800776804 = 111595^2 + 28298^2 .

It is a cyclic number.

It is not a de Polignac number, because 13254220829 - 220 = 13253172253 is a prime.

It is a super-3 number, since 3×132542208293 (a number of 31 digits) contains 333 as substring.

Together with 13254220831, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13254220792 and 13254220801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13254220823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6627110414 + 6627110415.

It is an arithmetic number, because the mean of its divisors is an integer number (6627110415).

Almost surely, 213254220829 is an apocalyptic number.

It is an amenable number.

13254220829 is a deficient number, since it is larger than the sum of its proper divisors (1).

13254220829 is an equidigital number, since it uses as much as digits as its factorization.

13254220829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 13254220829 in words is "thirteen billion, two hundred fifty-four million, two hundred twenty thousand, eight hundred twenty-nine".