1305015625 has 35 divisors (see below), whose sum is σ = 1733200471. Its totient is φ = 982600000.

The previous prime is 1305015623. The next prime is 1305015637. The reversal of 1305015625 is 5265105031.

The square root of 1305015625 is 36125.

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

It can be written as a sum of positive squares in 17 ways, for example, as 864183609 + 440832016 = 29397^2 + 20996^2 .

It is not a de Polignac number, because 1305015625 - 2¹ = 1305015623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1305015593 and 1305015602.

It is not an unprimeable number, because it can be changed into a prime (1305015623) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 76765617 + ... + 76765633.

Almost surely, 2^1305015625 is an apocalyptic number.

1305015625 is the 36125-th square number.

1305015625 is the 18063-rd centered octagonal number.

It is an amenable number.

1305015625 is a deficient number, since it is larger than the sum of its proper divisors (428184846).

1305015625 is an frugal number, since it uses more digits than its factorization.

1305015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The cubic root of 1305015625 is about 1092.7946760298.

The spelling of 1305015625 in words is "one billion, three hundred five million, fifteen thousand, six hundred twenty-five".