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63137413 is a prime number
BaseRepresentation
bin1111000011011…
…0011010000101
311101210201020201
43300312122011
5112130344123
610133130501
71364442043
oct360663205
9141721221
1063137413
1132704089
1219189a31
1310108021
148557393
1558225ad
hex3c36685

63137413 has 2 divisors, whose sum is σ = 63137414. Its totient is φ = 63137412.

The previous prime is 63137411. The next prime is 63137443. The reversal of 63137413 is 31473136.

It is a happy number.

63137413 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., 59629284 + 3508129 = 7722^2 + 1873^2 .

It is a cyclic number.

It is not a de Polignac number, because 63137413 - 21 = 63137411 is a prime.

Together with 63137411, 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 (63137411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31568706 + 31568707.

It is an arithmetic number, because the mean of its divisors is an integer number (31568707).

Almost surely, 263137413 is an apocalyptic number.

It is an amenable number.

63137413 is a deficient number, since it is larger than the sum of its proper divisors (1).

63137413 is an equidigital number, since it uses as much as digits as its factorization.

63137413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 28.

The square root of 63137413 is about 7945.9054235499. The cubic root of 63137413 is about 398.1948092210.

The spelling of 63137413 in words is "sixty-three million, one hundred thirty-seven thousand, four hundred thirteen".