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261404113 is a prime number
BaseRepresentation
bin11111001010010…
…11010111010001
3200012212201000211
433211023113101
51013404412423
641534444121
76322620055
oct1745132721
9605781024
10261404113
11124612863
1273663641
13422063b9
1426a07c65
1517e3810d
hexf94b5d1

261404113 has 2 divisors, whose sum is σ = 261404114. Its totient is φ = 261404112.

The previous prime is 261404107. The next prime is 261404119. The reversal of 261404113 is 311404162.

261404113 = 114322 + 114332.

It is a balanced prime because it is at equal distance from previous prime (261404107) and next prime (261404119).

It can be written as a sum of positive squares in only one way, i.e., 130713489 + 130690624 = 11433^2 + 11432^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-261404113 is a prime.

It is a super-2 number, since 2×2614041132 = 136664220586633538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (261404119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130702056 + 130702057.

It is an arithmetic number, because the mean of its divisors is an integer number (130702057).

Almost surely, 2261404113 is an apocalyptic number.

261404113 is the 11433-rd centered square number.

It is an amenable number.

261404113 is a deficient number, since it is larger than the sum of its proper divisors (1).

261404113 is an equidigital number, since it uses as much as digits as its factorization.

261404113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 261404113 is about 16167.9965672931. The cubic root of 261404113 is about 639.3973110430.

Adding to 261404113 its reverse (311404162), we get a palindrome (572808275).

The spelling of 261404113 in words is "two hundred sixty-one million, four hundred four thousand, one hundred thirteen".