8213124881025 has 27 divisors (see below), whose sum is σ = 14710696227721. Its totient is φ = 4380310343040.

The previous prime is 8213124881011. The next prime is 8213124881047. The reversal of 8213124881025 is 5201884213128.

The square root of 8213124881025 is 2865855.

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

8213124881025 is a `hidden beast` number, since 8 + 2 + 131 + 2 + 488 + 10 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1898418264561 + 6314706616464 = 1377831^2 + 2512908^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8213124881025 is a prime.

It is a super-2 number, since 2×8213124881025² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42892297 + ... + 43083353.

Almost surely, 2^{8213124881025} is an apocalyptic number.

8213124881025 is the 2865855-th square number.

8213124881025 is the 1432928-th centered octagonal number.

It is an amenable number.

8213124881025 is a deficient number, since it is larger than the sum of its proper divisors (6497571346696).

8213124881025 is an frugal number, since it uses more digits than its factorization.

8213124881025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382130 (or 191065 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 8213124881025 in words is "eight trillion, two hundred thirteen billion, one hundred twenty-four million, eight hundred eighty-one thousand, twenty-five".