1135300082565 has 128 divisors (see below), whose sum is σ = 2078523555840. Its totient is φ = 523786348800.

The previous prime is 1135300082563. The next prime is 1135300082591. The reversal of 1135300082565 is 5652800035311.

It is not a de Polignac number, because 1135300082565 - 2¹ = 1135300082563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135300082563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 928290544 + ... + 928291766.

It is an arithmetic number, because the mean of its divisors is an integer number (16238465280).

Almost surely, 2^{1135300082565} is an apocalyptic number.

1135300082565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1135300082565 is a deficient number, since it is larger than the sum of its proper divisors (943223473275).

1135300082565 is a wasteful number, since it uses less digits than its factorization.

1135300082565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335.

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 1135300082565 in words is "one trillion, one hundred thirty-five billion, three hundred million, eighty-two thousand, five hundred sixty-five".