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253301044049 is a prime number
BaseRepresentation
bin1110101111100111101…
…0110011001101010001
3220012210222121021020222
43223321322303031101
513122230031402144
6312210452242425
724205015230614
oct3537172631521
9805728537228
10253301044049
1198473921529
1241112010415
131ab69c484b1
14c38cdc017b
1568c7a262ee
hex3af9eb3351

253301044049 has 2 divisors, whose sum is σ = 253301044050. Its totient is φ = 253301044048.

The previous prime is 253301044037. The next prime is 253301044063. The reversal of 253301044049 is 940440103352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252631890625 + 669153424 = 502625^2 + 25868^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253301044049 is a prime.

It is a super-2 number, since 2×2533010440492 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (253301044349) 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, 126650522024 + 126650522025.

It is an arithmetic number, because the mean of its divisors is an integer number (126650522025).

Almost surely, 2253301044049 is an apocalyptic number.

It is an amenable number.

253301044049 is a deficient number, since it is larger than the sum of its proper divisors (1).

253301044049 is an equidigital number, since it uses as much as digits as its factorization.

253301044049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 253301044049 in words is "two hundred fifty-three billion, three hundred one million, forty-four thousand, forty-nine".