2185119586225 has 27 divisors (see below), whose sum is σ = 2723134144737. Its totient is φ = 1739374200480.

The previous prime is 2185119586159. The next prime is 2185119586291. The reversal of 2185119586225 is 5226859115812.

The square root of 2185119586225 is 1478215.

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

It is an interprime number because it is at equal distance from previous prime (2185119586159) and next prime (2185119586291).

It can be written as a sum of positive squares in 4 ways, for example, as 34485604209 + 2150633982016 = 185703^2 + 1466504^2 .

It is not a de Polignac number, because 2185119586225 - 2³⁵ = 2150759847857 is a prime.

It is a super-2 number, since 2×2185119586225² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1766466307 + ... + 1766467543.

Almost surely, 2^{2185119586225} is an apocalyptic number.

2185119586225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2185119586225 is the 1478215-th square number.

2185119586225 is the 739108-th centered octagonal number.

It is an amenable number.

2185119586225 is a deficient number, since it is larger than the sum of its proper divisors (538014558512).

2185119586225 is an frugal number, since it uses more digits than its factorization.

2185119586225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 1481 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 55.

The spelling of 2185119586225 in words is "two trillion, one hundred eighty-five billion, one hundred nineteen million, five hundred eighty-six thousand, two hundred twenty-five".