8131350276 has 243 divisors, whose sum is σ = 25459990101. Its totient is φ = 2181489408.

The previous prime is 8131350263. The next prime is 8131350299. The reversal of 8131350276 is 6720531318.

The square root of 8131350276 is 90174.

It is a perfect power (a square), and thus also a powerful number.

8131350276 is a `hidden beast` number, since 8 + 1 + 31 + 350 + 276 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143280900 + 7988069376 = 11970^2 + 89376^2 .

It is a super-2 number, since 2×8131350276² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8131350276.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71958796 + ... + 71958908.

Almost surely, 2^8131350276 is an apocalyptic number.

8131350276 is the 90174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8131350276

8131350276 is an abundant number, since it is smaller than the sum of its proper divisors (17328639825).

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

8131350276 is a wasteful number, since it uses less digits than its factorization.

8131350276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 8131350276 is about 2010.8864909722.

Multiplying 8131350276 by its sum of digits (36), we get a square (292728609936 = 541044²).

8131350276 divided by its sum of digits (36) gives a square (225870841 = 15029²).

The spelling of 8131350276 in words is "eight billion, one hundred thirty-one million, three hundred fifty thousand, two hundred seventy-six".