5711580625 has 15 divisors (see below), whose sum is σ = 7139552893. Its totient is φ = 4567753000.

The previous prime is 5711580619. The next prime is 5711580649. The reversal of 5711580625 is 5260851175.

It is a happy number.

The square root of 5711580625 is 75575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 447787921 + 5263792704 = 21161^2 + 72552^2 .

It is not a de Polignac number, because 5711580625 - 2¹⁵ = 5711547857 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 14 ways as a sum of consecutive naturals, for example, 1887864 + ... + 1890886.

Almost surely, 2^5711580625 is an apocalyptic number.

5711580625 is the 75575-th square number.

5711580625 is the 37788-th centered octagonal number.

It is an amenable number.

5711580625 is a deficient number, since it is larger than the sum of its proper divisors (1427972268).

5711580625 is an frugal number, since it uses more digits than its factorization.

5711580625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

The cubic root of 5711580625 is about 1787.5249152965.

The spelling of 5711580625 in words is "five billion, seven hundred eleven million, five hundred eighty thousand, six hundred twenty-five".