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253229393191441 is a prime number
BaseRepresentation
bin111001100100111110010000…
…000001110010001000010001
31020012121111022210211010011211
4321210332100001302020101
5231142402244124111231
62254323551030340121
7104224135300201522
oct7144762001621021
91205544283733154
10253229393191441
1173760a89864067
12244996774ba641
13ab3b577285394
144676521c14849
151e421270caeb1
hexe64f90072211

253229393191441 has 2 divisors, whose sum is σ = 253229393191442. Its totient is φ = 253229393191440.

The previous prime is 253229393191433. The next prime is 253229393191501. The reversal of 253229393191441 is 144191393922352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213606409478400 + 39622983713041 = 14615280^2 + 6294679^2 .

It is a cyclic number.

It is not a de Polignac number, because 253229393191441 - 23 = 253229393191433 is a prime.

It is a super-2 number, since 2×2532293931914412 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (253229393161441) 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, 126614696595720 + 126614696595721.

It is an arithmetic number, because the mean of its divisors is an integer number (126614696595721).

Almost surely, 2253229393191441 is an apocalyptic number.

It is an amenable number.

253229393191441 is a deficient number, since it is larger than the sum of its proper divisors (1).

253229393191441 is an equidigital number, since it uses as much as digits as its factorization.

253229393191441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12597120, while the sum is 58.

The spelling of 253229393191441 in words is "two hundred fifty-three trillion, two hundred twenty-nine billion, three hundred ninety-three million, one hundred ninety-one thousand, four hundred forty-one".