813526272 has 216 divisors, whose sum is σ = 2556810984. Its totient is φ = 247283712.

The previous prime is 813526267. The next prime is 813526277. The reversal of 813526272 is 272625318.

It is an interprime number because it is at equal distance from previous prime (813526267) and next prime (813526277).

It can be written as a sum of positive squares in 4 ways, for example, as 85821696 + 727704576 = 9264^2 + 26976^2 .

It is a super-3 number, since 3×813526272³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813526277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4702378 + ... + 4702550.

Almost surely, 2^813526272 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 813526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278405492).

813526272 is an abundant number, since it is smaller than the sum of its proper divisors (1743284712).

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

813526272 is a wasteful number, since it uses less digits than its factorization.

813526272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 348 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 813526272 is about 28522.3819482174. The cubic root of 813526272 is about 933.5205030522.

The spelling of 813526272 in words is "eight hundred thirteen million, five hundred twenty-six thousand, two hundred seventy-two".