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252410889477749 is a prime number
BaseRepresentation
bin111001011001000011111101…
…011001111001111001110101
31020002201020121212200022212212
4321121003331121321321311
5231041000000201241444
62252455543431223205
7104111041100342402
oct7131037531717165
91202636555608785
10252410889477749
1173475947854402
1224386b08217b05
13aaac324922bc2
144648a761c12a9
151e2abbe5d219e
hexe590fd679e75

252410889477749 has 2 divisors, whose sum is σ = 252410889477750. Its totient is φ = 252410889477748.

The previous prime is 252410889477689. The next prime is 252410889477899. The reversal of 252410889477749 is 947774988014252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200403859149649 + 52007030328100 = 14156407^2 + 7211590^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252410889477749 is a prime.

It is a super-2 number, since 2×2524108894777492 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252410889477749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252410889477949) 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, 126205444738874 + 126205444738875.

It is an arithmetic number, because the mean of its divisors is an integer number (126205444738875).

Almost surely, 2252410889477749 is an apocalyptic number.

It is an amenable number.

252410889477749 is a deficient number, since it is larger than the sum of its proper divisors (1).

252410889477749 is an equidigital number, since it uses as much as digits as its factorization.

252410889477749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2275983360, while the sum is 77.

The spelling of 252410889477749 in words is "two hundred fifty-two trillion, four hundred ten billion, eight hundred eighty-nine million, four hundred seventy-seven thousand, seven hundred forty-nine".