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249553261 is a prime number
BaseRepresentation
bin11101101111111…
…10000101101101
3122101120121201101
432313332011231
51002341201021
640432443101
76120111346
oct1667760555
9571517641
10249553261
11118959071
126b6a9491
133c917269
14252010cd
1516d96a91
hexedfe16d

249553261 has 2 divisors, whose sum is σ = 249553262. Its totient is φ = 249553260.

The previous prime is 249553253. The next prime is 249553301. The reversal of 249553261 is 162355942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153611236 + 95942025 = 12394^2 + 9795^2 .

It is a cyclic number.

It is not a de Polignac number, because 249553261 - 23 = 249553253 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 249553261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249553231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124776630 + 124776631.

It is an arithmetic number, because the mean of its divisors is an integer number (124776631).

Almost surely, 2249553261 is an apocalyptic number.

It is an amenable number.

249553261 is a deficient number, since it is larger than the sum of its proper divisors (1).

249553261 is an equidigital number, since it uses as much as digits as its factorization.

249553261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64800, while the sum is 37.

The square root of 249553261 is about 15797.2548564616. The cubic root of 249553261 is about 629.5850639679.

The spelling of 249553261 in words is "two hundred forty-nine million, five hundred fifty-three thousand, two hundred sixty-one".