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253121942369 is a prime number
BaseRepresentation
bin1110101110111100111…
…1100101001101100001
3220012100111120221221102
43223233033211031201
513121343204123434
6312141013404145
724200412003362
oct3535717451541
9805314527842
10253121942369
119839181280a
1241082039655
131ab3baca47a
14c3732bbb69
1568b6e4907e
hex3aef3e5361

253121942369 has 2 divisors, whose sum is σ = 253121942370. Its totient is φ = 253121942368.

The previous prime is 253121942321. The next prime is 253121942383. The reversal of 253121942369 is 963249121352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250812659344 + 2309283025 = 500812^2 + 48055^2 .

It is a cyclic number.

It is not a de Polignac number, because 253121942369 - 220 = 253120893793 is a prime.

It is a super-2 number, since 2×2531219423692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (253121942669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126560971184 + 126560971185.

It is an arithmetic number, because the mean of its divisors is an integer number (126560971185).

Almost surely, 2253121942369 is an apocalyptic number.

It is an amenable number.

253121942369 is a deficient number, since it is larger than the sum of its proper divisors (1).

253121942369 is an equidigital number, since it uses as much as digits as its factorization.

253121942369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 699840, while the sum is 47.

The spelling of 253121942369 in words is "two hundred fifty-three billion, one hundred twenty-one million, nine hundred forty-two thousand, three hundred sixty-nine".