1816416585025 has 45 divisors (see below), whose sum is σ = 2628070721993. Its totient is φ = 1245316380000.

The previous prime is 1816416585023. The next prime is 1816416585031. The reversal of 1816416585025 is 5205856146181.

The square root of 1816416585025 is 1347745.

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

It can be written as a sum of positive squares in 4 ways, for example, as 430673250049 + 1385743334976 = 656257^2 + 1177176^2 .

It is not a de Polignac number, because 1816416585025 - 2¹ = 1816416585023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1816416585023) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 330194775 + ... + 330200275.

Almost surely, 2^{1816416585025} is an apocalyptic number.

1816416585025 is the 1347745-th square number.

1816416585025 is the 673873-rd centered octagonal number.

It is an amenable number.

1816416585025 is a deficient number, since it is larger than the sum of its proper divisors (811654136968).

1816416585025 is an frugal number, since it uses more digits than its factorization.

1816416585025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11040 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 52.

The spelling of 1816416585025 in words is "one trillion, eight hundred sixteen billion, four hundred sixteen million, five hundred eighty-five thousand, twenty-five".