813386952 has 96 divisors (see below), whose sum is σ = 2533327680. Its totient is φ = 230947200.

The previous prime is 813386939. The next prime is 813387023. The reversal of 813386952 is 259683318.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 813386898 and 813386907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77202 + ... + 87102.

It is an arithmetic number, because the mean of its divisors is an integer number (26388830).

Almost surely, 2^813386952 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 813386952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266663840).

813386952 is an abundant number, since it is smaller than the sum of its proper divisors (1719940728).

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

813386952 is a wasteful number, since it uses less digits than its factorization.

813386952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10083 (or 10076 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 813386952 is about 28519.9395511281. The cubic root of 813386952 is about 933.4672101609.

The spelling of 813386952 in words is "eight hundred thirteen million, three hundred eighty-six thousand, nine hundred fifty-two".