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10497013 is a prime number
BaseRepresentation
bin101000000010…
…101111110101
3201202022012021
4220002233311
510141401023
61012553141
7155136352
oct50025765
921668167
1010497013
115a1a61a
1236227b1
132236b67
141573629
15dc535d
hexa02bf5

10497013 has 2 divisors, whose sum is σ = 10497014. Its totient is φ = 10497012.

The previous prime is 10497001. The next prime is 10497059. The reversal of 10497013 is 31079401.

10497013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7800849 + 2696164 = 2793^2 + 1642^2 .

It is an emirp because it is prime and its reverse (31079401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10497013 - 221 = 8399861 is a prime.

It is a super-2 number, since 2×104970132 = 220374563844338, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10497073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5248506 + 5248507.

It is an arithmetic number, because the mean of its divisors is an integer number (5248507).

Almost surely, 210497013 is an apocalyptic number.

It is an amenable number.

10497013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10497013 is an equidigital number, since it uses as much as digits as its factorization.

10497013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 10497013 is about 3239.9094123139. The cubic root of 10497013 is about 218.9551905431.

The spelling of 10497013 in words is "ten million, four hundred ninety-seven thousand, thirteen".