61110000501001 has 2 divisors, whose sum is σ = 61110000501002. Its totient is φ = 61110000501000.

The previous prime is 61110000500951. The next prime is 61110000501013. The reversal of 61110000501001 is 10010500001116.

61110000501001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54827212611600 + 6282787889401 = 7404540^2 + 2506549^2 .

It is a cyclic number.

It is not a de Polignac number, because 61110000501001 - 2⁹ = 61110000500489 is a prime.

It is a super-2 number, since 2×61110000501001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61110000501101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30555000250500 + 30555000250501.

It is an arithmetic number, because the mean of its divisors is an integer number (30555000250501).

Almost surely, 2^{61110000501001} is an apocalyptic number.

It is an amenable number.

61110000501001 is a deficient number, since it is larger than the sum of its proper divisors (1).

61110000501001 is an equidigital number, since it uses as much as digits as its factorization.

61110000501001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 61110000501001 its reverse (10010500001116), we get a palindrome (71120500502117).

The spelling of 61110000501001 in words is "sixty-one trillion, one hundred ten billion, five hundred one thousand, one".