1006635632157 has 20 divisors (see below), whose sum is σ = 1504301697756. Its totient is φ = 670839589440.

The previous prime is 1006635632077. The next prime is 1006635632179. The reversal of 1006635632157 is 7512365366001.

1006635632157 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 3 + 5 + 632 + 1 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 405691289721 + 600944342436 = 636939^2 + 775206^2 .

It is not a de Polignac number, because 1006635632157 - 2¹¹ = 1006635630109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006635632357) 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 19 ways as a sum of consecutive naturals, for example, 2104344 + ... + 2538017.

Almost surely, 2^{1006635632157} is an apocalyptic number.

It is an amenable number.

1006635632157 is a deficient number, since it is larger than the sum of its proper divisors (497666065599).

1006635632157 is an equidigital number, since it uses as much as digits as its factorization.

1006635632157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645050 (or 4645041 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 1006635632157 in words is "one trillion, six billion, six hundred thirty-five million, six hundred thirty-two thousand, one hundred fifty-seven".