1971268785 has 32 divisors (see below), whose sum is σ = 3508512000. Its totient is φ = 1050133248.

The previous prime is 1971268771. The next prime is 1971268787. The reversal of 1971268785 is 5878621791.

It is not a de Polignac number, because 1971268785 - 2¹³ = 1971260593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1971268787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116121 + ... + 132009.

It is an arithmetic number, because the mean of its divisors is an integer number (109641000).

Almost surely, 2^1971268785 is an apocalyptic number.

1971268785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1971268785 is a deficient number, since it is larger than the sum of its proper divisors (1537243215).

1971268785 is a wasteful number, since it uses less digits than its factorization.

1971268785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16822 (or 16816 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The square root of 1971268785 is about 44398.9727921717. The cubic root of 1971268785 is about 1253.8587499152.

The spelling of 1971268785 in words is "one billion, nine hundred seventy-one million, two hundred sixty-eight thousand, seven hundred eighty-five".