6241827673225 has 9 divisors (see below), whose sum is σ = 7739881804693. Its totient is φ = 4993452145120.

The previous prime is 6241827673199. The next prime is 6241827673241. The reversal of 6241827673225 is 5223767281426.

It is a happy number.

The square root of 6241827673225 is 2498365.

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 942089595769 + 5299738077456 = 970613^2 + 2302116^2 .

It is a de Polignac number, because none of the positive numbers 2^k-6241827673225 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 (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12241989 + ... + 12741661.

Almost surely, 2^{6241827673225} is an apocalyptic number.

6241827673225 is the 2498365-th square number.

6241827673225 is the 1249183-rd centered octagonal number.

It is an amenable number.

6241827673225 is a deficient number, since it is larger than the sum of its proper divisors (1498054131468).

6241827673225 is an frugal number, since it uses more digits than its factorization.

6241827673225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999356 (or 499678 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 55.

The spelling of 6241827673225 in words is "six trillion, two hundred forty-one billion, eight hundred twenty-seven million, six hundred seventy-three thousand, two hundred twenty-five".