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252663041 is a prime number
BaseRepresentation
bin11110000111101…
…01010100000001
3122121102121112102
433003311110001
51004140204131
641023240145
76155412641
oct1703652401
9577377472
10252663041
1111a692534
1270749055
1340465877
14257b0521
15172ad1cb
hexf0f5501

252663041 has 2 divisors, whose sum is σ = 252663042. Its totient is φ = 252663040.

The previous prime is 252663011. The next prime is 252663049. The reversal of 252663041 is 140366252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251888641 + 774400 = 15871^2 + 880^2 .

It is a cyclic number.

It is not a de Polignac number, because 252663041 - 210 = 252662017 is a prime.

It is a super-2 number, since 2×2526630412 = 127677224574735362, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 252662995 and 252663013.

It is not a weakly prime, because it can be changed into another prime (252663049) 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, 126331520 + 126331521.

It is an arithmetic number, because the mean of its divisors is an integer number (126331521).

Almost surely, 2252663041 is an apocalyptic number.

It is an amenable number.

252663041 is a deficient number, since it is larger than the sum of its proper divisors (1).

252663041 is an equidigital number, since it uses as much as digits as its factorization.

252663041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 252663041 is about 15895.3779760030. The cubic root of 252663041 is about 632.1894435887.

The spelling of 252663041 in words is "two hundred fifty-two million, six hundred sixty-three thousand, forty-one".