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253252144357 is a prime number
BaseRepresentation
bin1110101111011100000…
…0010000110011100101
3220012200120120220111021
43223313000100303211
513122130022104412
6312201544211141
724203552465122
oct3536700206345
9805616526437
10253252144357
1198449262463
12410b9769ab1
131ab5ca86b74
14c3866d1749
1568c35b7607
hex3af7010ce5

253252144357 has 2 divisors, whose sum is σ = 253252144358. Its totient is φ = 253252144356.

The previous prime is 253252144339. The next prime is 253252144433. The reversal of 253252144357 is 753441252352.

253252144357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235187171521 + 18064972836 = 484961^2 + 134406^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253252144357 is a prime.

It is a super-3 number, since 3×2532521443573 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253252184357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126626072178 + 126626072179.

It is an arithmetic number, because the mean of its divisors is an integer number (126626072179).

Almost surely, 2253252144357 is an apocalyptic number.

It is an amenable number.

253252144357 is a deficient number, since it is larger than the sum of its proper divisors (1).

253252144357 is an equidigital number, since it uses as much as digits as its factorization.

253252144357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008000, while the sum is 43.

The spelling of 253252144357 in words is "two hundred fifty-three billion, two hundred fifty-two million, one hundred forty-four thousand, three hundred fifty-seven".