1005168901 has 12 divisors (see below), whose sum is σ = 1119999916. Its totient is φ = 901264320.

The previous prime is 1005168887. The next prime is 1005168917. The reversal of 1005168901 is 1098615001.

It can be written as a sum of positive squares in 2 ways, for example, as 387696100 + 617472801 = 19690^2 + 24849^2 .

It is not a de Polignac number, because 1005168901 - 2⁵ = 1005168869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005168991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48066 + ... + 65731.

Almost surely, 2^1005168901 is an apocalyptic number.

1005168901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005168901 is a deficient number, since it is larger than the sum of its proper divisors (114831015).

1005168901 is a wasteful number, since it uses less digits than its factorization.

1005168901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113892 (or 113881 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 1005168901 is about 31704.3987642094. The cubic root of 1005168901 is about 1001.7200068802.

The spelling of 1005168901 in words is "one billion, five million, one hundred sixty-eight thousand, nine hundred one".