1001948871 has 32 divisors (see below), whose sum is σ = 1688421888. Its totient is φ = 513354240.

The previous prime is 1001948837. The next prime is 1001948879. The reversal of 1001948871 is 1788491001.

It is not a de Polignac number, because 1001948871 - 2⁶ = 1001948807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001948879) 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 31 ways as a sum of consecutive naturals, for example, 12846 + ... + 46571.

It is an arithmetic number, because the mean of its divisors is an integer number (52763184).

Almost surely, 2^1001948871 is an apocalyptic number.

1001948871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001948871 is a deficient number, since it is larger than the sum of its proper divisors (686473017).

1001948871 is a wasteful number, since it uses less digits than its factorization.

1001948871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59511.

The product of its (nonzero) digits is 16128, while the sum is 39.

The square root of 1001948871 is about 31653.5759591235. The cubic root of 1001948871 is about 1000.6492021121.

The spelling of 1001948871 in words is "one billion, one million, nine hundred forty-eight thousand, eight hundred seventy-one".