10620726101617 has 2 divisors, whose sum is σ = 10620726101618. Its totient is φ = 10620726101616.

The previous prime is 10620726101591. The next prime is 10620726101647. The reversal of 10620726101617 is 71610162702601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7956636204001 + 2664089897616 = 2820751^2 + 1632204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10620726101617 is a prime.

It is a super-4 number, since 4×10620726101617⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10620726101617.

It is not a weakly prime, because it can be changed into another prime (10620726101647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5310363050808 + 5310363050809.

It is an arithmetic number, because the mean of its divisors is an integer number (5310363050809).

Almost surely, 2^{10620726101617} is an apocalyptic number.

It is an amenable number.

10620726101617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10620726101617 is an equidigital number, since it uses as much as digits as its factorization.

10620726101617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 10620726101617 in words is "ten trillion, six hundred twenty billion, seven hundred twenty-six million, one hundred one thousand, six hundred seventeen".