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41365512257 is a prime number
BaseRepresentation
bin100110100001100100…
…111010000001000001
310221202211111202011112
4212201210322001001
51134204032343012
631000354253105
72663035024046
oct464144720101
9127684452145
1041365512257
11165a7831673
128025287195
133b92c47494
142005aa31cd
151121818122
hex9a193a041

41365512257 has 2 divisors, whose sum is σ = 41365512258. Its totient is φ = 41365512256.

The previous prime is 41365512197. The next prime is 41365512263. The reversal of 41365512257 is 75221556314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41261390641 + 104121616 = 203129^2 + 10204^2 .

It is a cyclic number.

It is not a de Polignac number, because 41365512257 - 26 = 41365512193 is a prime.

It is a super-2 number, since 2×413655122572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41365514257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20682756128 + 20682756129.

It is an arithmetic number, because the mean of its divisors is an integer number (20682756129).

Almost surely, 241365512257 is an apocalyptic number.

It is an amenable number.

41365512257 is a deficient number, since it is larger than the sum of its proper divisors (1).

41365512257 is an equidigital number, since it uses as much as digits as its factorization.

41365512257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252000, while the sum is 41.

The spelling of 41365512257 in words is "forty-one billion, three hundred sixty-five million, five hundred twelve thousand, two hundred fifty-seven".