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252528052769 is a prime number
BaseRepresentation
bin1110101100101111011…
…0000100101000100001
3220010211010002020120022
43223023312010220201
513114134140142034
6312002040323225
724146611013666
oct3531366045041
9803733066508
10252528052769
1198107558763
1240b37173515
131aa75a60bc5
14c318485a6d
15687ec36b2e
hex3acbd84a21

252528052769 has 2 divisors, whose sum is σ = 252528052770. Its totient is φ = 252528052768.

The previous prime is 252528052757. The next prime is 252528052787. The reversal of 252528052769 is 967250825252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206468454544 + 46059598225 = 454388^2 + 214615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252528052769 is a prime.

It is a super-2 number, since 2×2525280527692 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 252528052769.

It is not a weakly prime, because it can be changed into another prime (252528052669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126264026384 + 126264026385.

It is an arithmetic number, because the mean of its divisors is an integer number (126264026385).

Almost surely, 2252528052769 is an apocalyptic number.

It is an amenable number.

252528052769 is a deficient number, since it is larger than the sum of its proper divisors (1).

252528052769 is an equidigital number, since it uses as much as digits as its factorization.

252528052769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048000, while the sum is 53.

The spelling of 252528052769 in words is "two hundred fifty-two billion, five hundred twenty-eight million, fifty-two thousand, seven hundred sixty-nine".