1330330313025 has 180 divisors, whose sum is σ = 2944037722428. Its totient is φ = 591712853760.

The previous prime is 1330330313009. The next prime is 1330330313029. The reversal of 1330330313025 is 5203130330331.

1330330313025 is a `hidden beast` number, since 1 + 3 + 303 + 303 + 1 + 30 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 223018173504 + 1107312139521 = 472248^2 + 1052289^2 .

It is not a de Polignac number, because 1330330313025 - 2⁴ = 1330330313009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1330330313025.

It is not an unprimeable number, because it can be changed into a prime (1330330313029) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3490147 + ... + 3852503.

Almost surely, 2^{1330330313025} is an apocalyptic number.

1330330313025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1330330313025 is an abundant number, since it is smaller than the sum of its proper divisors (1613707409403).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330330313025 is a wasteful number, since it uses less digits than its factorization.

1330330313025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362430 (or 362409 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

Adding to 1330330313025 its reverse (5203130330331), we get a palindrome (6533460643356).

The spelling of 1330330313025 in words is "one trillion, three hundred thirty billion, three hundred thirty million, three hundred thirteen thousand, twenty-five".