508502500 has 135 divisors (see below), whose sum is σ = 1252812253. Its totient is φ = 180400000.

The previous prime is 508502471. The next prime is 508502509. The reversal of 508502500 is 5205805.

The square root of 508502500 is 22550.

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

It can be written as a sum of positive squares in 7 ways, for example, as 506520036 + 1982464 = 22506^2 + 1408^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (508502509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12402480 + ... + 12402520.

Almost surely, 2^508502500 is an apocalyptic number.

508502500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

508502500 is the 22550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508502500

508502500 is an abundant number, since it is smaller than the sum of its proper divisors (744309753).

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

508502500 is a wasteful number, since it uses less digits than its factorization.

508502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The cubic root of 508502500 is about 798.1742217538.

Multiplying 508502500 by its sum of digits (25), we get a square (12712562500 = 112750²).

508502500 divided by its sum of digits (25) gives a square (20340100 = 4510²).

The spelling of 508502500 in words is "five hundred eight million, five hundred two thousand, five hundred".