1971593316 has 144 divisors (see below), whose sum is σ = 6252180480. Its totient is φ = 508916160.

The previous prime is 1971593303. The next prime is 1971593321. The reversal of 1971593316 is 6133951791.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460795 + ... + 465053.

It is an arithmetic number, because the mean of its divisors is an integer number (43417920).

Almost surely, 2^1971593316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971593316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126090240).

1971593316 is an abundant number, since it is smaller than the sum of its proper divisors (4280587164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1971593316 is a wasteful number, since it uses less digits than its factorization.

1971593316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4449 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 1971593316 is about 44402.6273546960. The cubic root of 1971593316 is about 1253.9275539445.

The spelling of 1971593316 in words is "one billion, nine hundred seventy-one million, five hundred ninety-three thousand, three hundred sixteen".