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13435658413 is a prime number
BaseRepresentation
bin11001000001101001…
…11110000010101101
31021200100120011110021
430200310332002231
5210004012032123
610101112442141
7653643132532
oct144064760255
937610504407
1013435658413
115775096031
12272b6a9351
131361719948
14916572d89
1553980ac5d
hex320d3e0ad

13435658413 has 2 divisors, whose sum is σ = 13435658414. Its totient is φ = 13435658412.

The previous prime is 13435658393. The next prime is 13435658429. The reversal of 13435658413 is 31485653431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12038917284 + 1396741129 = 109722^2 + 37373^2 .

It is an emirp because it is prime and its reverse (31485653431) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13435658413 - 229 = 12898787501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13435658413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13435658473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6717829206 + 6717829207.

It is an arithmetic number, because the mean of its divisors is an integer number (6717829207).

Almost surely, 213435658413 is an apocalyptic number.

It is an amenable number.

13435658413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13435658413 is an equidigital number, since it uses as much as digits as its factorization.

13435658413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 518400, while the sum is 43.

The spelling of 13435658413 in words is "thirteen billion, four hundred thirty-five million, six hundred fifty-eight thousand, four hundred thirteen".