1008138961 has 4 divisors (see below), whose sum is σ = 1008338800. Its totient is φ = 1007939124.

The previous prime is 1008138953. The next prime is 1008138973. The reversal of 1008138961 is 1698318001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 1698318001 = 97 ⋅17508433.

It is a cyclic number.

It is not a de Polignac number, because 1008138961 - 2³ = 1008138953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1008138961.

It is not an unprimeable number, because it can be changed into a prime (1008138991) 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 3 ways as a sum of consecutive naturals, for example, 92151 + ... + 102508.

It is an arithmetic number, because the mean of its divisors is an integer number (252084700).

Almost surely, 2^1008138961 is an apocalyptic number.

It is an amenable number.

1008138961 is a deficient number, since it is larger than the sum of its proper divisors (199839).

1008138961 is an equidigital number, since it uses as much as digits as its factorization.

1008138961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199838.

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 1008138961 is about 31751.2040874043. The cubic root of 1008138961 is about 1002.7056598027.

The spelling of 1008138961 in words is "one billion, eight million, one hundred thirty-eight thousand, nine hundred sixty-one".