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61347605413 is a prime number
BaseRepresentation
bin111001001000100110…
…100010101110100101
312212100102100020211211
4321020212202232211
52001114441333123
644103244031421
74301152020313
oct711046425645
9185312306754
1061347605413
112402113aa46
12ba81232571
135a289c2643
142d7d8470b3
1518e0be840d
hexe489a2ba5

61347605413 has 2 divisors, whose sum is σ = 61347605414. Its totient is φ = 61347605412.

The previous prime is 61347605411. The next prime is 61347605437. The reversal of 61347605413 is 31450674316.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59400413284 + 1947192129 = 243722^2 + 44127^2 .

It is a cyclic number.

It is not a de Polignac number, because 61347605413 - 21 = 61347605411 is a prime.

Together with 61347605411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61347605411) 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, 30673802706 + 30673802707.

It is an arithmetic number, because the mean of its divisors is an integer number (30673802707).

Almost surely, 261347605413 is an apocalyptic number.

It is an amenable number.

61347605413 is a deficient number, since it is larger than the sum of its proper divisors (1).

61347605413 is an equidigital number, since it uses as much as digits as its factorization.

61347605413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 61347605413 in words is "sixty-one billion, three hundred forty-seven million, six hundred five thousand, four hundred thirteen".