7947353001025 has 9 divisors (see below), whose sum is σ = 9854735199753. Its totient is φ = 6357871124400.

The previous prime is 7947353001011. The next prime is 7947353001059. The reversal of 7947353001025 is 5201003537497.

The square root of 7947353001025 is 2819105.

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 664392900609 + 7282960100416 = 815103^2 + 2698696^2 .

It is not a de Polignac number, because 7947353001025 - 2³¹ = 7945205517377 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 (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13813615 + ... + 14377435.

Almost surely, 2^{7947353001025} is an apocalyptic number.

7947353001025 is the 2819105-th square number.

7947353001025 is the 1409553-rd centered octagonal number.

It is an amenable number.

7947353001025 is a deficient number, since it is larger than the sum of its proper divisors (1907382198728).

7947353001025 is an frugal number, since it uses more digits than its factorization.

7947353001025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127652 (or 563826 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 46.

The spelling of 7947353001025 in words is "seven trillion, nine hundred forty-seven billion, three hundred fifty-three million, one thousand, twenty-five".