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10584413551 is a prime number
BaseRepresentation
bin10011101101110000…
…10101010101101111
31000022122102220210201
421312320111111233
5133134102213201
64510140414331
7523202013355
oct116670252557
930278386721
1010584413551
114541697618
1220748473a7
13cc8ab97ca
14725a0d7d5
1541e34c801
hex276e1556f

10584413551 has 2 divisors, whose sum is σ = 10584413552. Its totient is φ = 10584413550.

The previous prime is 10584413549. The next prime is 10584413557. The reversal of 10584413551 is 15531448501.

It is a weak prime.

It is an emirp because it is prime and its reverse (15531448501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10584413551 - 21 = 10584413549 is a prime.

It is a super-2 number, since 2×105844135512 (a number of 21 digits) contains 22 as substring.

Together with 10584413549, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10584413551.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10584413557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292206775 + 5292206776.

It is an arithmetic number, because the mean of its divisors is an integer number (5292206776).

Almost surely, 210584413551 is an apocalyptic number.

10584413551 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584413551 is an equidigital number, since it uses as much as digits as its factorization.

10584413551 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 10584413551 in words is "ten billion, five hundred eighty-four million, four hundred thirteen thousand, five hundred fifty-one".