106361551516553 has 2 divisors, whose sum is σ = 106361551516554. Its totient is φ = 106361551516552.

The previous prime is 106361551516513. The next prime is 106361551516559. The reversal of 106361551516553 is 355615155163601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74490242577529 + 31871308939024 = 8630773^2 + 5645468^2 .

It is a cyclic number.

It is not a de Polignac number, because 106361551516553 - 2²² = 106361547322249 is a prime.

It is a super-3 number, since 3×106361551516553³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106361551516495 and 106361551516504.

It is not a weakly prime, because it can be changed into another prime (106361551516559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53180775758276 + 53180775758277.

It is an arithmetic number, because the mean of its divisors is an integer number (53180775758277).

Almost surely, 2^{106361551516553} is an apocalyptic number.

It is an amenable number.

106361551516553 is a deficient number, since it is larger than the sum of its proper divisors (1).

106361551516553 is an equidigital number, since it uses as much as digits as its factorization.

106361551516553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6075000, while the sum is 53.

The spelling of 106361551516553 in words is "one hundred six trillion, three hundred sixty-one billion, five hundred fifty-one million, five hundred sixteen thousand, five hundred fifty-three".