2016016618225 has 27 divisors (see below), whose sum is σ = 2514247757067. Its totient is φ = 1603584172080.

The previous prime is 2016016618207. The next prime is 2016016618261. The reversal of 2016016618225 is 5228166106102.

The square root of 2016016618225 is 1419865.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 725765982561 + 1290250635664 = 851919^2 + 1135892^2 .

It is not a de Polignac number, because 2016016618225 - 2³⁵ = 1981656879857 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 1412764962 + ... + 1412766388.

Almost surely, 2^{2016016618225} is an apocalyptic number.

2016016618225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2016016618225 is the 1419865-th square number.

2016016618225 is the 709933-rd centered octagonal number.

It is an amenable number.

2016016618225 is a deficient number, since it is larger than the sum of its proper divisors (498231138842).

2016016618225 is an frugal number, since it uses more digits than its factorization.

2016016618225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 2016016618225 in words is "two trillion, sixteen billion, sixteen million, six hundred eighteen thousand, two hundred twenty-five".