2418133851225 has 27 divisors (see below), whose sum is σ = 4331188188093. Its totient is φ = 1289658947040.

The previous prime is 2418133851193. The next prime is 2418133851293. The reversal of 2418133851225 is 5221583318142.

The square root of 2418133851225 is 1555035.

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

2418133851225 is a `hidden beast` number, since 2 + 4 + 1 + 81 + 3 + 38 + 512 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22349951001 + 2395783900224 = 149499^2 + 1547832^2 .

It is not a de Polignac number, because 2418133851225 - 2⁵ = 2418133851193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 23273691 + ... + 23377359.

Almost surely, 2^{2418133851225} is an apocalyptic number.

2418133851225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2418133851225 is the 1555035-th square number.

2418133851225 is the 777518-th centered octagonal number.

It is an amenable number.

2418133851225 is a deficient number, since it is larger than the sum of its proper divisors (1913054336868).

2418133851225 is an frugal number, since it uses more digits than its factorization.

2418133851225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207354 (or 103677 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 2418133851225 in words is "two trillion, four hundred eighteen billion, one hundred thirty-three million, eight hundred fifty-one thousand, two hundred twenty-five".