501334802500 has 375 divisors, whose sum is σ = 1358896878647. Its totient is φ = 161775264000.

The previous prime is 501334802489. The next prime is 501334802513. The reversal of 501334802500 is 5208433105.

The square root of 501334802500 is 708050.

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

It can be written as a sum of positive squares in 12 ways, for example, as 455525105476 + 45809697024 = 674926^2 + 214032^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=595.

It is an unprimeable number.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 29490282492 + ... + 29490282508.

Almost surely, 2^501334802500 is an apocalyptic number.

501334802500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

501334802500 is the 708050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501334802500

501334802500 is an abundant number, since it is smaller than the sum of its proper divisors (857562076147).

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

501334802500 is an frugal number, since it uses more digits than its factorization.

501334802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 501334802500 in words is "five hundred one billion, three hundred thirty-four million, eight hundred two thousand, five hundred".