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253252144261 is a prime number
BaseRepresentation
bin1110101111011100000…
…0010000110010000101
3220012200120120220100201
43223313000100302011
513122130022104021
6312201544210501
724203552464624
oct3536700206205
9805616526321
10253252144261
1198449262386
12410b9769a31
131ab5ca86acc
14c3866d16bb
1568c35b7591
hex3af7010c85

253252144261 has 2 divisors, whose sum is σ = 253252144262. Its totient is φ = 253252144260.

The previous prime is 253252144213. The next prime is 253252144267. The reversal of 253252144261 is 162441252352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136664041761 + 116588102500 = 369681^2 + 341450^2 .

It is a cyclic number.

It is not a de Polignac number, because 253252144261 - 227 = 253117926533 is a prime.

It is a super-2 number, since 2×2532521442612 (a number of 24 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 253252144261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253252144267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126626072130 + 126626072131.

It is an arithmetic number, because the mean of its divisors is an integer number (126626072131).

Almost surely, 2253252144261 is an apocalyptic number.

It is an amenable number.

253252144261 is a deficient number, since it is larger than the sum of its proper divisors (1).

253252144261 is an equidigital number, since it uses as much as digits as its factorization.

253252144261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 115200, while the sum is 37.

The spelling of 253252144261 in words is "two hundred fifty-three billion, two hundred fifty-two million, one hundred forty-four thousand, two hundred sixty-one".