1005475313 has 2 divisors, whose sum is σ = 1005475314. Its totient is φ = 1005475312.

The previous prime is 1005475309. The next prime is 1005475343. The reversal of 1005475313 is 3135745001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 656794384 + 348680929 = 25628^2 + 18673^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005475313 - 2² = 1005475309 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005475343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502737656 + 502737657.

It is an arithmetic number, because the mean of its divisors is an integer number (502737657).

Almost surely, 2^1005475313 is an apocalyptic number.

It is an amenable number.

1005475313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005475313 is an equidigital number, since it uses as much as digits as its factorization.

1005475313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 1005475313 is about 31709.2307222991. The cubic root of 1005475313 is about 1001.8217834231.

The spelling of 1005475313 in words is "one billion, five million, four hundred seventy-five thousand, three hundred thirteen".