2477838033225 has 81 divisors (see below), whose sum is σ = 4715267495263. Its totient is φ = 1243576035840.

The previous prime is 2477838033217. The next prime is 2477838033263. The reversal of 2477838033225 is 5223308387742.

The square root of 2477838033225 is 1574115.

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

2477838033225 is a `hidden beast` number, since 2 + 4 + 7 + 7 + 8 + 380 + 33 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2333717577801 + 144120455424 = 1527651^2 + 379632^2 .

It is not a de Polignac number, because 2477838033225 - 2³ = 2477838033217 is a prime.

It is a super-2 number, since 2×2477838033225² (a number of 26 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 401396239 + ... + 401402411.

Almost surely, 2^{2477838033225} is an apocalyptic number.

2477838033225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2477838033225 is the 1574115-th square number.

2477838033225 is the 787058-th centered octagonal number.

It is an amenable number.

2477838033225 is a deficient number, since it is larger than the sum of its proper divisors (2237429462038).

2477838033225 is an frugal number, since it uses more digits than its factorization.

2477838033225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12396 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2477838033225 in words is "two trillion, four hundred seventy-seven billion, eight hundred thirty-eight million, thirty-three thousand, two hundred twenty-five".