1319385336025 has 81 divisors (see below), whose sum is σ = 1758525982941. Its totient is φ = 981843367680.

The previous prime is 1319385335999. The next prime is 1319385336029. The reversal of 1319385336025 is 5206335839131.

The square root of 1319385336025 is 1148645.

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 671250851401 + 648134484624 = 819299^2 + 805068^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1319385336025 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 1319385336025.

It is not an unprimeable number, because it can be changed into a prime (1319385336029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11675976369 + ... + 11675976481.

Almost surely, 2^{1319385336025} is an apocalyptic number.

1319385336025 is the 1148645-th square number.

1319385336025 is the 574323-rd centered octagonal number.

It is an amenable number.

1319385336025 is a deficient number, since it is larger than the sum of its proper divisors (439140646916).

1319385336025 is an equidigital number, since it uses as much as digits as its factorization.

1319385336025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

Multiplying 1319385336025 by its sum of digits (49), we get a square (64649881465225 = 8040515²).

The spelling of 1319385336025 in words is "one trillion, three hundred nineteen billion, three hundred eighty-five million, three hundred thirty-six thousand, twenty-five".