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10654364561 is a prime number
BaseRepresentation
bin10011110110000110…
…01011001110010001
31000111112001210112212
421323003023032101
5133310004131221
64521120001505
7525011414231
oct117303131621
930445053485
1010654364561
114578124875
122094160295
13100a43bc39
1473101bcc1
15425568b5b
hex27b0cb391

10654364561 has 2 divisors, whose sum is σ = 10654364562. Its totient is φ = 10654364560.

The previous prime is 10654364557. The next prime is 10654364587. The reversal of 10654364561 is 16546345601.

10654364561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7524521536 + 3129843025 = 86744^2 + 55945^2 .

It is a cyclic number.

It is not a de Polignac number, because 10654364561 - 22 = 10654364557 is a prime.

It is a super-2 number, since 2×106543645612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10654364521) 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, 5327182280 + 5327182281.

It is an arithmetic number, because the mean of its divisors is an integer number (5327182281).

Almost surely, 210654364561 is an apocalyptic number.

It is an amenable number.

10654364561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10654364561 is an equidigital number, since it uses as much as digits as its factorization.

10654364561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 10654364561 in words is "ten billion, six hundred fifty-four million, three hundred sixty-four thousand, five hundred sixty-one".