813966552 has 96 divisors (see below), whose sum is σ = 2587572000. Its totient is φ = 226271232.

The previous prime is 813966541. The next prime is 813966607. The reversal of 813966552 is 255669318.

813966552 is a `hidden beast` number, since 8 + 1 + 3 + 96 + 6 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 813966498 and 813966507.

It is a congruent number.

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, 3177 + ... + 40472.

It is an arithmetic number, because the mean of its divisors is an integer number (26953875).

Almost surely, 2^813966552 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 813966552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293786000).

813966552 is an abundant number, since it is smaller than the sum of its proper divisors (1773605448).

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

813966552 is a wasteful number, since it uses less digits than its factorization.

813966552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43705 (or 43698 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 813966552 is about 28530.0990534558. The cubic root of 813966552 is about 933.6888796195.

It can be divided in two parts, 8139 and 66552, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 813966552 in words is "eight hundred thirteen million, nine hundred sixty-six thousand, five hundred fifty-two".