8176563252 has 384 divisors, whose sum is σ = 26276544000. Its totient is φ = 2164838400.

The previous prime is 8176563251. The next prime is 8176563347. The reversal of 8176563252 is 2523656718.

8176563252 is a `hidden beast` number, since 8 + 1 + 7 + 6 + 5 + 632 + 5 + 2 = 666.

It is a super-2 number, since 2×8176563252² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8176563198 and 8176563207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8176563251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23428374 + ... + 23428722.

It is an arithmetic number, because the mean of its divisors is an integer number (68428500).

Almost surely, 2^8176563252 is an apocalyptic number.

8176563252 is a gapful number since it is divisible by the number (82) 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 8176563252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138272000).

8176563252 is an abundant number, since it is smaller than the sum of its proper divisors (18099980748).

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

8176563252 is a wasteful number, since it uses less digits than its factorization.

8176563252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 8176563252 is about 90424.3509902062. The cubic root of 8176563252 is about 2014.6066672689.

The spelling of 8176563252 in words is "eight billion, one hundred seventy-six million, five hundred sixty-three thousand, two hundred fifty-two".