7628461013 has 2 divisors, whose sum is σ = 7628461014. Its totient is φ = 7628461012.

The previous prime is 7628460971. The next prime is 7628461067. The reversal of 7628461013 is 3101648267.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7255121329 + 373339684 = 85177^2 + 19322^2 .

It is a cyclic number.

It is not a de Polignac number, because 7628461013 - 2⁸ = 7628460757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7628461213) 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, 3814230506 + 3814230507.

It is an arithmetic number, because the mean of its divisors is an integer number (3814230507).

Almost surely, 2^7628461013 is an apocalyptic number.

It is an amenable number.

7628461013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7628461013 is an equidigital number, since it uses as much as digits as its factorization.

7628461013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 7628461013 is about 87341.0614373331. The cubic root of 7628461013 is about 1968.5463447113.

The spelling of 7628461013 in words is "seven billion, six hundred twenty-eight million, four hundred sixty-one thousand, thirteen".