5310765625 has 63 divisors (see below), whose sum is σ = 7436994649. Its totient is φ = 3789500000.

The previous prime is 5310765623. The next prime is 5310765631. The reversal of 5310765625 is 5265670135.

The square root of 5310765625 is 72875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 5107532089 + 203233536 = 71467^2 + 14256^2 .

It is not a de Polignac number, because 5310765625 - 2¹ = 5310765623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5310765623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 100203099 + ... + 100203151.

Almost surely, 2^5310765625 is an apocalyptic number.

5310765625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5310765625 is the 72875-th square number.

5310765625 is the 36438-th centered octagonal number.

It is an amenable number.

5310765625 is a deficient number, since it is larger than the sum of its proper divisors (2126229024).

5310765625 is an frugal number, since it uses more digits than its factorization.

5310765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The cubic root of 5310765625 is about 1744.6931067318.

The spelling of 5310765625 in words is "five billion, three hundred ten million, seven hundred sixty-five thousand, six hundred twenty-five".