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64137013 is a prime number
BaseRepresentation
bin1111010010101…
…0011100110101
311110200111102221
43310222130311
5112404341023
610210402341
71406104243
oct364523465
9143614387
1064137013
11332270a6
12195903b1
1310397cc5
148737793
15596d85d
hex3d2a735

64137013 has 2 divisors, whose sum is σ = 64137014. Its totient is φ = 64137012.

The previous prime is 64137001. The next prime is 64137083. The reversal of 64137013 is 31073146.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64112049 + 24964 = 8007^2 + 158^2 .

It is a cyclic number.

It is not a de Polignac number, because 64137013 - 225 = 30582581 is a prime.

It is a super-2 number, since 2×641370132 = 8227112873124338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64137083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32068506 + 32068507.

It is an arithmetic number, because the mean of its divisors is an integer number (32068507).

Almost surely, 264137013 is an apocalyptic number.

It is an amenable number.

64137013 is a deficient number, since it is larger than the sum of its proper divisors (1).

64137013 is an equidigital number, since it uses as much as digits as its factorization.

64137013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 64137013 is about 8008.5587342542. The cubic root of 64137013 is about 400.2852402966.

The spelling of 64137013 in words is "sixty-four million, one hundred thirty-seven thousand, thirteen".