813181248 has 224 divisors, whose sum is σ = 2633472000. Its totient is φ = 244016640.

The previous prime is 813181241. The next prime is 813181309. The reversal of 813181248 is 842181318.

It is a super-2 number, since 2×813181248² = 1322527484197675008, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813181241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402313 + ... + 3402551.

Almost surely, 2^813181248 is an apocalyptic number.

813181248 is a gapful number since it is divisible by the number (88) 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 813181248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316736000).

813181248 is an abundant number, since it is smaller than the sum of its proper divisors (1820290752).

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

813181248 is a wasteful number, since it uses less digits than its factorization.

813181248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 434 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 813181248 is about 28516.3330040873. Note that the first 3 decimals coincide. The cubic root of 813181248 is about 933.3885128374.

The spelling of 813181248 in words is "eight hundred thirteen million, one hundred eighty-one thousand, two hundred forty-eight".