507984052900 has 81 divisors (see below), whose sum is σ = 1110630896193. Its totient is φ = 201674080800.

The previous prime is 507984052889. The next prime is 507984052913. The reversal of 507984052900 is 9250489705.

The square root of 507984052900 is 712730.

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., 182874259044 + 325109793856 = 427638^2 + 570184^2 .

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 26 ways as a sum of consecutive naturals, for example, 1874479765 + ... + 1874480035.

Almost surely, 2^507984052900 is an apocalyptic number.

507984052900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

507984052900 is the 712730-th square number.

It is an amenable number.

507984052900 is an abundant number, since it is smaller than the sum of its proper divisors (602646843293).

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

507984052900 is an equidigital number, since it uses as much as digits as its factorization.

507984052900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 507984052900 by its sum of digits (49), we get a square (24891218592100 = 4989110²).

The spelling of 507984052900 in words is "five hundred seven billion, nine hundred eighty-four million, fifty-two thousand, nine hundred".