811509516 has 60 divisors (see below), whose sum is σ = 2129561280. Its totient is φ = 269468640.

The previous prime is 811509511. The next prime is 811509527. The reversal of 811509516 is 615905118.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (811509511) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82501 + ... + 91811.

It is an arithmetic number, because the mean of its divisors is an integer number (35492688).

Almost surely, 2^811509516 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 811509516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064780640).

811509516 is an abundant number, since it is smaller than the sum of its proper divisors (1318051764).

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

811509516 is a wasteful number, since it uses less digits than its factorization.

811509516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9596 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 811509516 is about 28487.0060904968. The cubic root of 811509516 is about 932.7484562935.

The spelling of 811509516 in words is "eight hundred eleven million, five hundred nine thousand, five hundred sixteen".