1145807827527 has 64 divisors (see below), whose sum is σ = 1799876505600. Its totient is φ = 641003973120.

The previous prime is 1145807827523. The next prime is 1145807827573. The reversal of 1145807827527 is 7257287085411.

It is not a de Polignac number, because 1145807827527 - 2² = 1145807827523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145807827523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4043158 + ... + 4317260.

It is an arithmetic number, because the mean of its divisors is an integer number (28123070400).

Almost surely, 2^{1145807827527} is an apocalyptic number.

1145807827527 is a deficient number, since it is larger than the sum of its proper divisors (654068678073).

1145807827527 is a wasteful number, since it uses less digits than its factorization.

1145807827527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274308.

The product of its (nonzero) digits is 8780800, while the sum is 57.

The spelling of 1145807827527 in words is "one trillion, one hundred forty-five billion, eight hundred seven million, eight hundred twenty-seven thousand, five hundred twenty-seven".