1382258733025 has 27 divisors (see below), whose sum is σ = 1735512849849. Its totient is φ = 1092098382720.

The previous prime is 1382258733017. The next prime is 1382258733049. The reversal of 1382258733025 is 5203378522831.

The square root of 1382258733025 is 1175695.

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

It can be written as a sum of positive squares in 4 ways, for example, as 84728148561 + 1297530584464 = 291081^2 + 1139092^2 .

It is not a de Polignac number, because 1382258733025 - 2³ = 1382258733017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1382258733025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 487912009 + ... + 487914841.

Almost surely, 2^{1382258733025} is an apocalyptic number.

1382258733025 is the 1175695-th square number.

1382258733025 is the 587848-th centered octagonal number.

It is an amenable number.

1382258733025 is a deficient number, since it is larger than the sum of its proper divisors (353254116824).

1382258733025 is an frugal number, since it uses more digits than its factorization.

1382258733025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 1382258733025 by its sum of digits (49), we get a square (67730677918225 = 8229865²).

The spelling of 1382258733025 in words is "one trillion, three hundred eighty-two billion, two hundred fifty-eight million, seven hundred thirty-three thousand, twenty-five".