8247838329025 has 27 divisors (see below), whose sum is σ = 10254975254811. Its totient is φ = 6580476339840.

The previous prime is 8247838329019. The next prime is 8247838329041. The reversal of 8247838329025 is 5209238387428.

The square root of 8247838329025 is 2871905.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5316976504449 + 2930861824576 = 2305857^2 + 1711976^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8247838329025 is a prime.

It is a Duffinian number.

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, 8802388357 + ... + 8802389293.

Almost surely, 2^{8247838329025} is an apocalyptic number.

8247838329025 is the 2871905-th square number.

8247838329025 is the 1435953-rd centered octagonal number.

It is an amenable number.

8247838329025 is a deficient number, since it is larger than the sum of its proper divisors (2007136925786).

8247838329025 is an frugal number, since it uses more digits than its factorization.

8247838329025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 8247838329025 in words is "eight trillion, two hundred forty-seven billion, eight hundred thirty-eight million, three hundred twenty-nine thousand, twenty-five".