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335040405313 is a prime number
BaseRepresentation
bin1001110000000011111…
…01101101111101000001
31012000210112122001100111
410320001331231331001
520442130320432223
6413525422351321
733130420312405
oct4700175557501
91160715561314
10335040405313
1111a0a9635459
1254b2442b541
132579552b753
1412304b69105
158aada7130d
hex4e01f6df41

335040405313 has 2 divisors, whose sum is σ = 335040405314. Its totient is φ = 335040405312.

The previous prime is 335040405311. The next prime is 335040405407. The reversal of 335040405313 is 313504040533.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 333925646769 + 1114758544 = 577863^2 + 33388^2 .

It is a cyclic number.

It is not a de Polignac number, because 335040405313 - 21 = 335040405311 is a prime.

It is a super-2 number, since 2×3350404053132 (a number of 24 digits) contains 22 as substring.

Together with 335040405311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (335040405311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167520202656 + 167520202657.

It is an arithmetic number, because the mean of its divisors is an integer number (167520202657).

Almost surely, 2335040405313 is an apocalyptic number.

It is an amenable number.

335040405313 is a deficient number, since it is larger than the sum of its proper divisors (1).

335040405313 is an equidigital number, since it uses as much as digits as its factorization.

335040405313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 31.

Adding to 335040405313 its reverse (313504040533), we get a palindrome (648544445846).

The spelling of 335040405313 in words is "three hundred thirty-five billion, forty million, four hundred five thousand, three hundred thirteen".