1528746780625 has 75 divisors (see below), whose sum is σ = 2031276210887. Its totient is φ = 1150171992000.

The previous prime is 1528746780623. The next prime is 1528746780629. The reversal of 1528746780625 is 5260876478251.

The square root of 1528746780625 is 1236425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1056305006289 + 472441774336 = 1027767^2 + 687344^2 .

It is not a de Polignac number, because 1528746780625 - 2¹ = 1528746780623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1528746780623) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 11158735557 + ... + 11158735693.

Almost surely, 2^{1528746780625} is an apocalyptic number.

1528746780625 is the 1236425-th square number.

1528746780625 is the 618213-rd centered octagonal number.

It is an amenable number.

1528746780625 is a deficient number, since it is larger than the sum of its proper divisors (502529430262).

1528746780625 is an frugal number, since it uses more digits than its factorization.

1528746780625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 61.

The spelling of 1528746780625 in words is "one trillion, five hundred twenty-eight billion, seven hundred forty-six million, seven hundred eighty thousand, six hundred twenty-five".