7982529025 has 27 divisors (see below), whose sum is σ = 10051897219. Its totient is φ = 6288458480.

The previous prime is 7982528977. The next prime is 7982529053. The reversal of 7982529025 is 5209252897.

The square root of 7982529025 is 89345.

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

It can be written as a sum of positive squares in only one way, i.e., 2873710449 + 5108818576 = 53607^2 + 71476^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7982529025 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7982529025.

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, 47799492 + ... + 47799658.

Almost surely, 2^7982529025 is an apocalyptic number.

7982529025 is the 89345-th square number.

7982529025 is the 44673-rd centered octagonal number.

It is an amenable number.

7982529025 is a deficient number, since it is larger than the sum of its proper divisors (2069368194).

7982529025 is an equidigital number, since it uses as much as digits as its factorization.

7982529025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The cubic root of 7982529025 is about 1998.5430242853.

Multiplying 7982529025 by its sum of digits (49), we get a square (391143922225 = 625415²).

The spelling of 7982529025 in words is "seven billion, nine hundred eighty-two million, five hundred twenty-nine thousand, twenty-five".