7953964225 has 9 divisors (see below), whose sum is σ = 9863468617. Its totient is φ = 6362814640.

The previous prime is 7953964219. The next prime is 7953964253. The reversal of 7953964225 is 5224693597.

The square root of 7953964225 is 89185.

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 493150849 + 7460813376 = 22207^2 + 86376^2 .

It is not a de Polignac number, because 7953964225 - 2⁹ = 7953963713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 437007 + ... + 454843.

Almost surely, 2^7953964225 is an apocalyptic number.

7953964225 is the 89185-th square number.

7953964225 is the 44593-rd centered octagonal number.

It is an amenable number.

7953964225 is a deficient number, since it is larger than the sum of its proper divisors (1909504392).

7953964225 is an frugal number, since it uses more digits than its factorization.

7953964225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35684 (or 17842 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 52.

The cubic root of 7953964225 is about 1996.1563031461.

The spelling of 7953964225 in words is "seven billion, nine hundred fifty-three million, nine hundred sixty-four thousand, two hundred twenty-five".