611115620854001 has 2 divisors, whose sum is σ = 611115620854002. Its totient is φ = 611115620854000.

The previous prime is 611115620853973. The next prime is 611115620854003. The reversal of 611115620854001 is 100458026511116.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 610960738464400 + 154882389601 = 24717620^2 + 393551^2 .

It is a cyclic number.

It is not a de Polignac number, because 611115620854001 - 2¹⁰ = 611115620852977 is a prime.

It is a super-2 number, since 2×611115620854001² (a number of 30 digits) contains 22 as substring.

Together with 611115620854003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 611115620854001.

It is not a weakly prime, because it can be changed into another prime (611115620854003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305557810427000 + 305557810427001.

It is an arithmetic number, because the mean of its divisors is an integer number (305557810427001).

Almost surely, 2^{611115620854001} is an apocalyptic number.

It is an amenable number.

611115620854001 is a deficient number, since it is larger than the sum of its proper divisors (1).

611115620854001 is an equidigital number, since it uses as much as digits as its factorization.

611115620854001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 41.

The spelling of 611115620854001 in words is "six hundred eleven trillion, one hundred fifteen billion, six hundred twenty million, eight hundred fifty-four thousand, one".