2116505644025 has 24 divisors (see below), whose sum is σ = 2636319639000. Its totient is φ = 1685559859200.

The previous prime is 2116505644007. The next prime is 2116505644031. The reversal of 2116505644025 is 5204465056112.

It can be written as a sum of positive squares in 12 ways, for example, as 920964589561 + 1195541054464 = 959669^2 + 1093408^2 .

It is not a de Polignac number, because 2116505644025 - 2¹⁶ = 2116505578489 is a prime.

It is a super-2 number, since 2×2116505644025² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 44866151 + ... + 44913299.

It is an arithmetic number, because the mean of its divisors is an integer number (109846651625).

Almost surely, 2^{2116505644025} is an apocalyptic number.

2116505644025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2116505644025 is a deficient number, since it is larger than the sum of its proper divisors (519813994975).

2116505644025 is a wasteful number, since it uses less digits than its factorization.

2116505644025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55229 (or 55224 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 2116505644025 in words is "two trillion, one hundred sixteen billion, five hundred five million, six hundred forty-four thousand, twenty-five".