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61264131413 is a prime number
BaseRepresentation
bin111001000011101000…
…000111010101010101
312212010121021100001012
4321003220013111111
52000432104201123
644051102542005
74266116345012
oct710350072525
9185117240035
1061264131413
1123a89006771
12ba59297905
135a14616c44
142d72718709
1518d870a378
hexe43a07555

61264131413 has 2 divisors, whose sum is σ = 61264131414. Its totient is φ = 61264131412.

The previous prime is 61264131389. The next prime is 61264131419. The reversal of 61264131413 is 31413146216.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56464690129 + 4799441284 = 237623^2 + 69278^2 .

It is a cyclic number.

It is not a de Polignac number, because 61264131413 - 26 = 61264131349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61264131413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61264131419) 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, 30632065706 + 30632065707.

It is an arithmetic number, because the mean of its divisors is an integer number (30632065707).

Almost surely, 261264131413 is an apocalyptic number.

It is an amenable number.

61264131413 is a deficient number, since it is larger than the sum of its proper divisors (1).

61264131413 is an equidigital number, since it uses as much as digits as its factorization.

61264131413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 32.

Adding to 61264131413 its reverse (31413146216), we get a palindrome (92677277629).

The spelling of 61264131413 in words is "sixty-one billion, two hundred sixty-four million, one hundred thirty-one thousand, four hundred thirteen".