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261569513969 is a prime number
BaseRepresentation
bin1111001110011011000…
…0100000100111110001
3221000011020012001122122
43303212300200213301
513241143243421334
6320055142244025
724616636120121
oct3634660404761
9830136161578
10261569513969
11a0a27198345
124283b126615
131b886c99b4a
14c9351b0c81
156c0d8a332e
hex3ce6c209f1

261569513969 has 2 divisors, whose sum is σ = 261569513970. Its totient is φ = 261569513968.

The previous prime is 261569513851. The next prime is 261569513981. The reversal of 261569513969 is 969315965162.

261569513969 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., 261473709025 + 95804944 = 511345^2 + 9788^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-261569513969 is a prime.

It is a super-2 number, since 2×2615695139692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (261569513069) 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, 130784756984 + 130784756985.

It is an arithmetic number, because the mean of its divisors is an integer number (130784756985).

Almost surely, 2261569513969 is an apocalyptic number.

It is an amenable number.

261569513969 is a deficient number, since it is larger than the sum of its proper divisors (1).

261569513969 is an equidigital number, since it uses as much as digits as its factorization.

261569513969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23619600, while the sum is 62.

The spelling of 261569513969 in words is "two hundred sixty-one billion, five hundred sixty-nine million, five hundred thirteen thousand, nine hundred sixty-nine".