610825761641 has 2 divisors, whose sum is σ = 610825761642. Its totient is φ = 610825761640.

The previous prime is 610825761593. The next prime is 610825761659. The reversal of 610825761641 is 146167528016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337207844416 + 273617917225 = 580696^2 + 523085^2 .

It is a cyclic number.

It is not a de Polignac number, because 610825761641 - 2³⁴ = 593645892457 is a prime.

It is a super-2 number, since 2×610825761641² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (610825761541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305412880820 + 305412880821.

It is an arithmetic number, because the mean of its divisors is an integer number (305412880821).

Almost surely, 2^610825761641 is an apocalyptic number.

It is an amenable number.

610825761641 is a deficient number, since it is larger than the sum of its proper divisors (1).

610825761641 is an equidigital number, since it uses as much as digits as its factorization.

610825761641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 610825761641 in words is "six hundred ten billion, eight hundred twenty-five million, seven hundred sixty-one thousand, six hundred forty-one".