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252641001203377 is a prime number
BaseRepresentation
bin111001011100011010010001…
…001000011110011010110001
31020010112020120202111011111121
4321130122101020132122301
5231103232232302002002
62253153401304142241
7104133465345625063
oct7134322110363261
91203466522434447
10252641001203377
11735544a0929766
1224403628167981
13aac7c374c4ab7
144655c654b1733
151e31b8b39e237
hexe5c69121e6b1

252641001203377 has 2 divisors, whose sum is σ = 252641001203378. Its totient is φ = 252641001203376.

The previous prime is 252641001203293. The next prime is 252641001203431. The reversal of 252641001203377 is 773302100146252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146509817807376 + 106131183396001 = 12104124^2 + 10301999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252641001203377 is a prime.

It is not a weakly prime, because it can be changed into another prime (252641001203077) 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, 126320500601688 + 126320500601689.

It is an arithmetic number, because the mean of its divisors is an integer number (126320500601689).

Almost surely, 2252641001203377 is an apocalyptic number.

It is an amenable number.

252641001203377 is a deficient number, since it is larger than the sum of its proper divisors (1).

252641001203377 is an equidigital number, since it uses as much as digits as its factorization.

252641001203377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 252641001203377 in words is "two hundred fifty-two trillion, six hundred forty-one billion, one million, two hundred three thousand, three hundred seventy-seven".