511825776400 has 45 divisors (see below), whose sum is σ = 1229695804693. Its totient is φ = 204724587200.

The previous prime is 511825776379. The next prime is 511825776401. The reversal of 511825776400 is 4677528115.

The square root of 511825776400 is 715420.

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., 184257279504 + 327568496896 = 429252^2 + 572336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (511825776401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14290515 + ... + 14326285.

Almost surely, 2^511825776400 is an apocalyptic number.

511825776400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

511825776400 is the 715420-th square number.

It is an amenable number.

511825776400 is an abundant number, since it is smaller than the sum of its proper divisors (717870028293).

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

511825776400 is an frugal number, since it uses more digits than its factorization.

511825776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71560 (or 35778 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

It can be divided in two parts, 511825 and 776400, that added together give a square (1288225 = 1135²).

The spelling of 511825776400 in words is "five hundred eleven billion, eight hundred twenty-five million, seven hundred seventy-six thousand, four hundred".