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252303543253561 is a prime number
BaseRepresentation
bin111001010111011111111111…
…000100100011101000111001
31020002022222112201211010112211
4321113133333010203220321
5231032220124033103221
62252334351521135121
7104100221001444562
oct7127377704435071
91202288481733484
10252303543253561
1173434371699348
122436a14a18a4a1
13aaa2178176b57
1446437b163b169
151e27eda48d6e1
hexe577ff123a39

252303543253561 has 2 divisors, whose sum is σ = 252303543253562. Its totient is φ = 252303543253560.

The previous prime is 252303543253547. The next prime is 252303543253577. The reversal of 252303543253561 is 165352345303252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251998004058025 + 305539195536 = 15874445^2 + 552756^2 .

It is a cyclic number.

It is not a de Polignac number, because 252303543253561 - 217 = 252303543122489 is a prime.

It is not a weakly prime, because it can be changed into another prime (252303543253061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126151771626780 + 126151771626781.

It is an arithmetic number, because the mean of its divisors is an integer number (126151771626781).

Almost surely, 2252303543253561 is an apocalyptic number.

It is an amenable number.

252303543253561 is a deficient number, since it is larger than the sum of its proper divisors (1).

252303543253561 is an equidigital number, since it uses as much as digits as its factorization.

252303543253561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720000, while the sum is 49.

The spelling of 252303543253561 in words is "two hundred fifty-two trillion, three hundred three billion, five hundred forty-three million, two hundred fifty-three thousand, five hundred sixty-one".