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803997000353 is a prime number
BaseRepresentation
bin10111011001100011111…
…01001010001010100001
32211212020221012101200202
423230301331022022201
5101133041213002403
61413203501554545
7112041536513201
oct13546175121241
92755227171622
10803997000353
1128aa7838a278
1210b9a0b75a55
135aa8008a941
142acb1138401
1515da9173688
hexbb31f4a2a1

803997000353 has 2 divisors, whose sum is σ = 803997000354. Its totient is φ = 803997000352.

The previous prime is 803997000341. The next prime is 803997000371. The reversal of 803997000353 is 353000799308.

803997000353 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., 671378668129 + 132618332224 = 819377^2 + 364168^2 .

It is a cyclic number.

It is not a de Polignac number, because 803997000353 - 220 = 803995951777 is a prime.

It is a super-2 number, since 2×8039970003532 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 803997000298 and 803997000307.

It is not a weakly prime, because it can be changed into another prime (803997003353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401998500176 + 401998500177.

It is an arithmetic number, because the mean of its divisors is an integer number (401998500177).

Almost surely, 2803997000353 is an apocalyptic number.

It is an amenable number.

803997000353 is a deficient number, since it is larger than the sum of its proper divisors (1).

803997000353 is an equidigital number, since it uses as much as digits as its factorization.

803997000353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 612360, while the sum is 47.

The spelling of 803997000353 in words is "eight hundred three billion, nine hundred ninety-seven million, three hundred fifty-three", and thus it is an aban number.