496813522500 has 405 divisors, whose sum is σ = 1625649554529. Its totient is φ = 127887984000.

The previous prime is 496813522483. The next prime is 496813522511. The reversal of 496813522500 is 5225318694.

The square root of 496813522500 is 704850.

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

496813522500 is a `hidden beast` number, since 4 + 9 + 6 + 8 + 135 + 2 + 2 + 500 = 666.

496813522500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 164954573316 + 331858949184 = 406146^2 + 576072^2 .

It is a super-2 number, since 2×496813522500² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3911917437 + ... + 3911917563.

Almost surely, 2^496813522500 is an apocalyptic number.

496813522500 is the 704850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496813522500

496813522500 is an abundant number, since it is smaller than the sum of its proper divisors (1128836032029).

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

496813522500 is a wasteful number, since it uses less digits than its factorization.

496813522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 496813522500 in words is "four hundred ninety-six billion, eight hundred thirteen million, five hundred twenty-two thousand, five hundred".