2401616581225 has 27 divisors (see below), whose sum is σ = 2991352169029. Its totient is φ = 1912720241600.

The previous prime is 2401616581207. The next prime is 2401616581237. The reversal of 2401616581225 is 5221856161042.

The square root of 2401616581225 is 1549715.

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 3417454681 + 2398199126544 = 58459^2 + 1548612^2 .

It is not a de Polignac number, because 2401616581225 - 2⁵ = 2401616581193 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2177349024 + ... + 2177350126.

Almost surely, 2^{2401616581225} is an apocalyptic number.

2401616581225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2401616581225 is the 1549715-th square number.

2401616581225 is the 774858-th centered octagonal number.

It is an amenable number.

2401616581225 is a deficient number, since it is larger than the sum of its proper divisors (589735587804).

2401616581225 is an frugal number, since it uses more digits than its factorization.

2401616581225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 2401616581225 in words is "two trillion, four hundred one billion, six hundred sixteen million, five hundred eighty-one thousand, two hundred twenty-five".