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261017257481 is a prime number
BaseRepresentation
bin1111001100010111010…
…1110100011000001001
3220221201202000112011122
43303011311310120021
513234030404214411
6315524253405025
724600152036651
oct3630565643011
9827652015148
10261017257481
11a0773489922
1242706199775
131b7c9749566
14c8c1ad5361
156bca1669db
hex3cc5d74609

261017257481 has 2 divisors, whose sum is σ = 261017257482. Its totient is φ = 261017257480.

The previous prime is 261017257441. The next prime is 261017257513. The reversal of 261017257481 is 184752710162.

261017257481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252113447881 + 8903809600 = 502109^2 + 94360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-261017257481 is a prime.

It is a super-2 number, since 2×2610172574812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (261017257441) 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, 130508628740 + 130508628741.

It is an arithmetic number, because the mean of its divisors is an integer number (130508628741).

Almost surely, 2261017257481 is an apocalyptic number.

It is an amenable number.

261017257481 is a deficient number, since it is larger than the sum of its proper divisors (1).

261017257481 is an equidigital number, since it uses as much as digits as its factorization.

261017257481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 261017257481 in words is "two hundred sixty-one billion, seventeen million, two hundred fifty-seven thousand, four hundred eighty-one".