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41011112257 is a prime number
BaseRepresentation
bin100110001100011100…
…111110100101000001
310220212010122100202121
4212030130332211001
51132442321043012
630501254244241
72651202462643
oct461434764501
9126763570677
1041011112257
1116435781705
127b46656681
133b376b063b
141db09ac893
151100660a07
hex98c73e941

41011112257 has 2 divisors, whose sum is σ = 41011112258. Its totient is φ = 41011112256.

The previous prime is 41011112231. The next prime is 41011112287. The reversal of 41011112257 is 75221111014.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38791665936 + 2219446321 = 196956^2 + 47111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41011112257 is a prime.

It is a super-2 number, since 2×410111122572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41011112287) 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, 20505556128 + 20505556129.

It is an arithmetic number, because the mean of its divisors is an integer number (20505556129).

Almost surely, 241011112257 is an apocalyptic number.

It is an amenable number.

41011112257 is a deficient number, since it is larger than the sum of its proper divisors (1).

41011112257 is an equidigital number, since it uses as much as digits as its factorization.

41011112257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

The spelling of 41011112257 in words is "forty-one billion, eleven million, one hundred twelve thousand, two hundred fifty-seven".