2516083306127 has 16 divisors (see below), whose sum is σ = 2636315200512. Its totient is φ = 2398301516160.

The previous prime is 2516083306091. The next prime is 2516083306151. The reversal of 2516083306127 is 7216033806152.

It is a cyclic number.

It is not a de Polignac number, because 2516083306127 - 2¹⁸ = 2516083043983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516083306327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19298903 + ... + 19428839.

It is an arithmetic number, because the mean of its divisors is an integer number (164769700032).

Almost surely, 2^{2516083306127} is an apocalyptic number.

2516083306127 is a deficient number, since it is larger than the sum of its proper divisors (120231894385).

2516083306127 is a wasteful number, since it uses less digits than its factorization.

2516083306127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139358.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 2516083306127 in words is "two trillion, five hundred sixteen billion, eighty-three million, three hundred six thousand, one hundred twenty-seven".