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252752803001 is a prime number
BaseRepresentation
bin1110101101100100111…
…1011011010010111001
3220011101202222201220222
43223121033123102321
513120114204144001
6312040225425425
724155310243326
oct3533117332271
9804352881828
10252752803001
1198212405956
1240b9a49b275
131aab04a27ca
14c33a26bb4d
15689482e61b
hex3ad93db4b9

252752803001 has 2 divisors, whose sum is σ = 252752803002. Its totient is φ = 252752803000.

The previous prime is 252752802989. The next prime is 252752803057. The reversal of 252752803001 is 100308257252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239535851776 + 13216951225 = 489424^2 + 114965^2 .

It is a cyclic number.

It is not a de Polignac number, because 252752803001 - 26 = 252752802937 is a prime.

It is not a weakly prime, because it can be changed into another prime (252752806001) 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, 126376401500 + 126376401501.

It is an arithmetic number, because the mean of its divisors is an integer number (126376401501).

Almost surely, 2252752803001 is an apocalyptic number.

It is an amenable number.

252752803001 is a deficient number, since it is larger than the sum of its proper divisors (1).

252752803001 is an equidigital number, since it uses as much as digits as its factorization.

252752803001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 252752803001 in words is "two hundred fifty-two billion, seven hundred fifty-two million, eight hundred three thousand, one".