1725216575625 has 135 divisors (see below), whose sum is σ = 3166956340977. Its totient is φ = 904721580000.

The previous prime is 1725216575539. The next prime is 1725216575683. The reversal of 1725216575625 is 5265756125271.

The square root of 1725216575625 is 1313475.

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

1725216575625 is a `hidden beast` number, since 1 + 7 + 2 + 5 + 2 + 1 + 6 + 5 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135256979529 + 1589959596096 = 367773^2 + 1260936^2 .

It is not a de Polignac number, because 1725216575625 - 2⁹ = 1725216575113 is a prime.

It is a super-2 number, since 2×1725216575625² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8176381770 + ... + 8176381980.

Almost surely, 2^{1725216575625} is an apocalyptic number.

1725216575625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1725216575625 is the 1313475-th square number.

1725216575625 is the 656738-th centered octagonal number.

It is an amenable number.

1725216575625 is a deficient number, since it is larger than the sum of its proper divisors (1441739765352).

1725216575625 is an frugal number, since it uses more digits than its factorization.

1725216575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 302 counting only the distinct ones).

The product of its digits is 8820000, while the sum is 54.

The spelling of 1725216575625 in words is "one trillion, seven hundred twenty-five billion, two hundred sixteen million, five hundred seventy-five thousand, six hundred twenty-five".