1597380015625 has 21 divisors (see below), whose sum is σ = 1996896958923. Its totient is φ = 1277777625000.

The previous prime is 1597380015601. The next prime is 1597380015643. The reversal of 1597380015625 is 5265100837951.

It is a happy number.

The square root of 1597380015625 is 1263875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 1399458242169 + 197921773456 = 1182987^2 + 444884^2 .

It is not a de Polignac number, because 1597380015625 - 2¹⁷ = 1597379884553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 157979320 + ... + 157989430.

Almost surely, 2^{1597380015625} is an apocalyptic number.

1597380015625 is the 1263875-th square number.

1597380015625 is the 631938-th centered octagonal number.

It is an amenable number.

1597380015625 is a deficient number, since it is larger than the sum of its proper divisors (399516943298).

1597380015625 is an frugal number, since it uses more digits than its factorization.

1597380015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20252 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 52.

The spelling of 1597380015625 in words is "one trillion, five hundred ninety-seven billion, three hundred eighty million, fifteen thousand, six hundred twenty-five".