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2013249913 is a prime number
BaseRepresentation
bin111011111111111…
…1100000101111001
312012022021200200121
41313333330011321
513110342444123
6531434533241
7100614225163
oct16777740571
95168250617
102013249913
11943477504
12482297221
1326113624c
14151547933
15bbb2d75d
hex77ffc179

2013249913 has 2 divisors, whose sum is σ = 2013249914. Its totient is φ = 2013249912.

The previous prime is 2013249907. The next prime is 2013249929. The reversal of 2013249913 is 3199423102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1351885824 + 661364089 = 36768^2 + 25717^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013249913 - 29 = 2013249401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013249013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006624956 + 1006624957.

It is an arithmetic number, because the mean of its divisors is an integer number (1006624957).

Almost surely, 22013249913 is an apocalyptic number.

It is an amenable number.

2013249913 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013249913 is an equidigital number, since it uses as much as digits as its factorization.

2013249913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 2013249913 is about 44869.2535373612. The cubic root of 2013249913 is about 1262.6972355707.

The spelling of 2013249913 in words is "two billion, thirteen million, two hundred forty-nine thousand, nine hundred thirteen".