805053973504 has 99 divisors (see below), whose sum is σ = 1769618159701. Its totient is φ = 365790064640.

The previous prime is 805053973487. The next prime is 805053973517. The reversal of 805053973504 is 405379350508.

The square root of 805053973504 is 897248.

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

It can be written as a sum of positive squares in only one way, i.e., 744341013504 + 60712960000 = 862752^2 + 246400^2 .

It is a super-2 number, since 2×805053973504² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 315830022 + ... + 315832570.

Almost surely, 2^805053973504 is an apocalyptic number.

805053973504 is the 897248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805053973504

805053973504 is an abundant number, since it is smaller than the sum of its proper divisors (964564186197).

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

805053973504 is an frugal number, since it uses more digits than its factorization.

805053973504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

Multiplying 805053973504 by its sum of digits (49), we get a square (39447644701696 = 6280736²).

The spelling of 805053973504 in words is "eight hundred five billion, fifty-three million, nine hundred seventy-three thousand, five hundred four".