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13802513 is a prime number
BaseRepresentation
bin110100101001…
…110000010001
3221222020111012
4310221300101
512013140023
61211500305
7225214364
oct64516021
927866435
1013802513
11787803a
124757695
132b2358a
141b940db
151329978
hexd29c11

13802513 has 2 divisors, whose sum is σ = 13802514. Its totient is φ = 13802512.

The previous prime is 13802483. The next prime is 13802543. The reversal of 13802513 is 31520831.

It is a balanced prime because it is at equal distance from previous prime (13802483) and next prime (13802543).

It can be written as a sum of positive squares in only one way, i.e., 9102289 + 4700224 = 3017^2 + 2168^2 .

It is a cyclic number.

It is not a de Polignac number, because 13802513 - 26 = 13802449 is a prime.

It is not a weakly prime, because it can be changed into another prime (13802543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6901256 + 6901257.

It is an arithmetic number, because the mean of its divisors is an integer number (6901257).

Almost surely, 213802513 is an apocalyptic number.

It is an amenable number.

13802513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13802513 is an equidigital number, since it uses as much as digits as its factorization.

13802513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13802513 is about 3715.1733472343. The cubic root of 13802513 is about 239.8755894547.

The spelling of 13802513 in words is "thirteen million, eight hundred two thousand, five hundred thirteen".