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1009698013 is a prime number
BaseRepresentation
bin111100001011101…
…100010011011101
32121100220222021201
4330023230103131
54031440314023
6244105155501
734010201662
oct7413542335
92540828251
101009698013
11478a48075
1224218bb91
1313125445c
1498153a69
155d999bad
hex3c2ec4dd

1009698013 has 2 divisors, whose sum is σ = 1009698014. Its totient is φ = 1009698012.

The previous prime is 1009697987. The next prime is 1009698031. The reversal of 1009698013 is 3108969001.

Together with next prime (1009698031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 951907609 + 57790404 = 30853^2 + 7602^2 .

It is an emirp because it is prime and its reverse (3108969001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1009698013 - 29 = 1009697501 is a prime.

It is a super-2 number, since 2×10096980132 = 2038980154912296338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009698073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504849006 + 504849007.

It is an arithmetic number, because the mean of its divisors is an integer number (504849007).

Almost surely, 21009698013 is an apocalyptic number.

It is an amenable number.

1009698013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009698013 is an equidigital number, since it uses as much as digits as its factorization.

1009698013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 1009698013 is about 31775.7456718171. The cubic root of 1009698013 is about 1003.2222767800. Note that the first 4 decimals are identical.

The spelling of 1009698013 in words is "one billion, nine million, six hundred ninety-eight thousand, thirteen".