8513414800 has 90 divisors (see below), whose sum is σ = 22482051074. Its totient is φ = 3095769600.

The previous prime is 8513414779. The next prime is 8513414801. The reversal of 8513414800 is 84143158.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 8513383824 = 176^2 + 92268^2 .

It is not an unprimeable number, because it can be changed into a prime (8513414801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39549 + ... + 136348.

Almost surely, 2^8513414800 is an apocalyptic number.

8513414800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8513414800 is an abundant number, since it is smaller than the sum of its proper divisors (13968636274).

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

8513414800 is a wasteful number, since it uses less digits than its factorization.

8513414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175937 (or 175915 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 8513414800 is about 92268.1678586933. The cubic root of 8513414800 is about 2041.9006060040.

Adding to 8513414800 its reverse (84143158), we get a palindrome (8597557958).

The spelling of 8513414800 in words is "eight billion, five hundred thirteen million, four hundred fourteen thousand, eight hundred".