1005605131 has 16 divisors (see below), whose sum is σ = 1103034240. Its totient is φ = 912522240.

The previous prime is 1005605119. The next prime is 1005605137. The reversal of 1005605131 is 1315065001.

1005605131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1005605131 - 2¹¹ = 1005603083 is a prime.

It is a super-2 number, since 2×1005605131² = 2022483358987054322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005605137) 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, 606055 + ... + 607711.

It is an arithmetic number, because the mean of its divisors is an integer number (68939640).

Almost surely, 2^1005605131 is an apocalyptic number.

1005605131 is a deficient number, since it is larger than the sum of its proper divisors (97429109).

1005605131 is a wasteful number, since it uses less digits than its factorization.

1005605131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934.

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 1005605131 is about 31711.2776626865. The cubic root of 1005605131 is about 1001.8648969973.

The spelling of 1005605131 in words is "one billion, five million, six hundred five thousand, one hundred thirty-one".