617120505101 has 2 divisors, whose sum is σ = 617120505102. Its totient is φ = 617120505100.

The previous prime is 617120505083. The next prime is 617120505109. The reversal of 617120505101 is 101505021716.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 519695368201 + 97425136900 = 720899^2 + 312130^2 .

It is a cyclic number.

It is not a de Polignac number, because 617120505101 - 2²⁶ = 617053396237 is a prime.

It is a super-2 number, since 2×617120505101² (a number of 24 digits) contains 22 as substring.

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 (617120505109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308560252550 + 308560252551.

It is an arithmetic number, because the mean of its divisors is an integer number (308560252551).

Almost surely, 2^617120505101 is an apocalyptic number.

It is an amenable number.

617120505101 is a deficient number, since it is larger than the sum of its proper divisors (1).

617120505101 is an equidigital number, since it uses as much as digits as its factorization.

617120505101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 29.

Adding to 617120505101 its reverse (101505021716), we get a palindrome (718625526817).

The spelling of 617120505101 in words is "six hundred seventeen billion, one hundred twenty million, five hundred five thousand, one hundred one".