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13006351957 is a prime number
BaseRepresentation
bin11000001110011110…
…10010111001010101
31020120102202010201011
430013033102321111
5203114111230312
65550335132221
7640211111314
oct140717227125
936512663634
1013006351957
115574823805
12262b974071
1312c37b6c61
148b554027b
15511ca8da7
hex3073d2e55

13006351957 has 2 divisors, whose sum is σ = 13006351958. Its totient is φ = 13006351956.

The previous prime is 13006351933. The next prime is 13006352053. The reversal of 13006351957 is 75915360031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11363346801 + 1643005156 = 106599^2 + 40534^2 .

It is a cyclic number.

It is not a de Polignac number, because 13006351957 - 231 = 10858868309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13006354957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503175978 + 6503175979.

It is an arithmetic number, because the mean of its divisors is an integer number (6503175979).

Almost surely, 213006351957 is an apocalyptic number.

It is an amenable number.

13006351957 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006351957 is an equidigital number, since it uses as much as digits as its factorization.

13006351957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 85050, while the sum is 40.

The spelling of 13006351957 in words is "thirteen billion, six million, three hundred fifty-one thousand, nine hundred fifty-seven".