7725531025 has 9 divisors (see below), whose sum is σ = 9580203451. Its totient is φ = 6180073240.

The previous prime is 7725530999. The next prime is 7725531083. The reversal of 7725531025 is 5201355277.

The square root of 7725531025 is 87895.

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., 2781191169 + 4944339856 = 52737^2 + 70316^2 .

It is not a de Polignac number, because 7725531025 - 2¹⁵ = 7725498257 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, 430686 + ... + 448264.

Almost surely, 2^7725531025 is an apocalyptic number.

7725531025 is the 87895-th square number.

7725531025 is the 43948-th centered octagonal number.

It is an amenable number.

7725531025 is a deficient number, since it is larger than the sum of its proper divisors (1854672426).

7725531025 is an frugal number, since it uses more digits than its factorization.

7725531025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35168 (or 17584 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 37.

The cubic root of 7725531025 is about 1976.8609090752.

The spelling of 7725531025 in words is "seven billion, seven hundred twenty-five million, five hundred thirty-one thousand, twenty-five".