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12653352541 is a prime number
BaseRepresentation
bin10111100100011001…
…01101011001011101
31012122211111220112201
423302030231121131
5201403224240131
65451325131501
7625363502434
oct136214553135
935584456481
1012653352541
115403540055
1225516b9b91
13126862076b
148806d211b
154e0ccb761
hex2f232d65d

12653352541 has 2 divisors, whose sum is σ = 12653352542. Its totient is φ = 12653352540.

The previous prime is 12653352539. The next prime is 12653352557. The reversal of 12653352541 is 14525335621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9614586916 + 3038765625 = 98054^2 + 55125^2 .

It is a cyclic number.

It is not a de Polignac number, because 12653352541 - 21 = 12653352539 is a prime.

Together with 12653352539, 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 12653352541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12653352511) 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, 6326676270 + 6326676271.

It is an arithmetic number, because the mean of its divisors is an integer number (6326676271).

Almost surely, 212653352541 is an apocalyptic number.

It is an amenable number.

12653352541 is a deficient number, since it is larger than the sum of its proper divisors (1).

12653352541 is an equidigital number, since it uses as much as digits as its factorization.

12653352541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108000, while the sum is 37.

It can be divided in two parts, 1265335 and 2541, that added together give a square (1267876 = 11262).

The spelling of 12653352541 in words is "twelve billion, six hundred fifty-three million, three hundred fifty-two thousand, five hundred forty-one".