1006634540031 has 16 divisors (see below), whose sum is σ = 1361277193056. Its totient is φ = 661550409216.

The previous prime is 1006634539987. The next prime is 1006634540063. The reversal of 1006634540031 is 1300454366001.

It is not a de Polignac number, because 1006634540031 - 2¹⁹ = 1006634015743 is a prime.

It is a super-2 number, since 2×1006634540031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006634539974 and 1006634540001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006634540231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782440 + ... + 1620333.

It is an arithmetic number, because the mean of its divisors is an integer number (85079824566).

Almost surely, 2^{1006634540031} is an apocalyptic number.

1006634540031 is a deficient number, since it is larger than the sum of its proper divisors (354642653025).

1006634540031 is a wasteful number, since it uses less digits than its factorization.

1006634540031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404762.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 1006634540031 in words is "one trillion, six billion, six hundred thirty-four million, five hundred forty thousand, thirty-one".