817473181252 has 288 divisors, whose sum is σ = 1893519936000. Its totient is φ = 305652372480.

The previous prime is 817473181241. The next prime is 817473181271. The reversal of 817473181252 is 252181374718.

817473181252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 817473181196 and 817473181205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 764707774 + ... + 764708842.

It is an arithmetic number, because the mean of its divisors is an integer number (6574722000).

Almost surely, 2^817473181252 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 817473181252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946759968000).

817473181252 is an abundant number, since it is smaller than the sum of its proper divisors (1076046754748).

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

817473181252 is a wasteful number, since it uses less digits than its factorization.

817473181252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1330 counting only the distinct ones).

The product of its digits is 752640, while the sum is 49.

The spelling of 817473181252 in words is "eight hundred seventeen billion, four hundred seventy-three million, one hundred eighty-one thousand, two hundred fifty-two".