5101611001601 has 2 divisors, whose sum is σ = 5101611001602. Its totient is φ = 5101611001600.

The previous prime is 5101611001511. The next prime is 5101611001633. The reversal of 5101611001601 is 1061001161015.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4900131213376 + 201479788225 = 2213624^2 + 448865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5101611001601 is a prime.

It is not a weakly prime, because it can be changed into another prime (5101611001001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2550805500800 + 2550805500801.

It is an arithmetic number, because the mean of its divisors is an integer number (2550805500801).

Almost surely, 2^{5101611001601} is an apocalyptic number.

It is an amenable number.

5101611001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

5101611001601 is an equidigital number, since it uses as much as digits as its factorization.

5101611001601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 23.

Adding to 5101611001601 its reverse (1061001161015), we get a palindrome (6162612162616).

The spelling of 5101611001601 in words is "five trillion, one hundred one billion, six hundred eleven million, one thousand, six hundred one".