648900313 has 2 divisors, whose sum is σ = 648900314. Its totient is φ = 648900312.

The previous prime is 648900289. The next prime is 648900347. The reversal of 648900313 is 313009846.

648900313 = 18012² + 18013².

It is an a-pointer prime, because the next prime (648900347) can be obtained adding 648900313 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 324468169 + 324432144 = 18013^2 + 18012^2 .

It is a cyclic number.

It is not a de Polignac number, because 648900313 - 2⁵ = 648900281 is a prime.

It is a super-2 number, since 2×648900313² = 842143232422995938, which contains 22 as substring.

It is equal to p_33739216 and since 648900313 and 33739216 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (648900383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 324450156 + 324450157.

It is an arithmetic number, because the mean of its divisors is an integer number (324450157).

Almost surely, 2^648900313 is an apocalyptic number.

648900313 is the 18013-rd centered square number.

It is an amenable number.

648900313 is a deficient number, since it is larger than the sum of its proper divisors (1).

648900313 is an equidigital number, since it uses as much as digits as its factorization.

648900313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 648900313 is about 25473.5218020595. The cubic root of 648900313 is about 865.7503209331.

The spelling of 648900313 in words is "six hundred forty-eight million, nine hundred thousand, three hundred thirteen".