813067520 has 54 divisors (see below), whose sum is σ = 1949997462. Its totient is φ = 324818944.

The previous prime is 813067511. The next prime is 813067529. The reversal of 813067520 is 25760318.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (813067511) and next prime (813067529).

It can be written as a sum of positive squares in 3 ways, for example, as 74097664 + 738969856 = 8608^2 + 27184^2 .

It is a super-2 number, since 2×813067520² = 1322157584157900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813067529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1019762 + ... + 1020558.

Almost surely, 2^813067520 is an apocalyptic number.

813067520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974998731).

813067520 is an abundant number, since it is smaller than the sum of its proper divisors (1136929942).

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

813067520 is an frugal number, since it uses more digits than its factorization.

813067520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 813067520 is about 28514.3388490773. The cubic root of 813067520 is about 933.3449975867.

The spelling of 813067520 in words is "eight hundred thirteen million, sixty-seven thousand, five hundred twenty".