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253056641 is a prime number
BaseRepresentation
bin11110001010101…
…01011010000001
3122122011121110012
433011111122001
51004240303031
641035514305
76161642315
oct1705253201
9578147405
10253056641
1111a931222
12708b8995
1340572a76
1425873b45
1517339b2b
hexf155681

253056641 has 2 divisors, whose sum is σ = 253056642. Its totient is φ = 253056640.

The previous prime is 253056623. The next prime is 253056647. The reversal of 253056641 is 146650352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252969025 + 87616 = 15905^2 + 296^2 .

It is a cyclic number.

It is not a de Polignac number, because 253056641 - 218 = 252794497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253056598 and 253056607.

It is not a weakly prime, because it can be changed into another prime (253056647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126528320 + 126528321.

It is an arithmetic number, because the mean of its divisors is an integer number (126528321).

Almost surely, 2253056641 is an apocalyptic number.

It is an amenable number.

253056641 is a deficient number, since it is larger than the sum of its proper divisors (1).

253056641 is an equidigital number, since it uses as much as digits as its factorization.

253056641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 253056641 is about 15907.7541155249. The cubic root of 253056641 is about 632.5175494409.

The spelling of 253056641 in words is "two hundred fifty-three million, fifty-six thousand, six hundred forty-one".