871317701136 has 405 divisors, whose sum is σ = 2631664779471. Its totient is φ = 279450730944.

The previous prime is 871317701129. The next prime is 871317701143. The reversal of 871317701136 is 631107713178.

The square root of 871317701136 is 933444.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (871317701129) and next prime (871317701143).

It is a junction number, because it is equal to n+sod(n) for n = 871317701091 and 871317701100.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13004741775 + ... + 13004741841.

Almost surely, 2^871317701136 is an apocalyptic number.

871317701136 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

871317701136 is the 933444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871317701136

871317701136 is an abundant number, since it is smaller than the sum of its proper divisors (1760347078335).

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

871317701136 is an frugal number, since it uses more digits than its factorization.

871317701136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 871317701136 in words is "eight hundred seventy-one billion, three hundred seventeen million, seven hundred one thousand, one hundred thirty-six".