506250000 has 225 divisors, whose sum is σ = 1831542031. Its totient is φ = 135000000.

The previous prime is 506249983. The next prime is 506250007. The reversal of 506250000 is 52605.

The square root of 506250000 is 22500.

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

It can be written as a sum of positive squares in 4 ways, for example, as 359936784 + 146313216 = 18972^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506250007) 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, 101249998 + ... + 101250002.

Almost surely, 2^506250000 is an apocalyptic number.

506250000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506250000 is the 22500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506250000

506250000 is an abundant number, since it is smaller than the sum of its proper divisors (1325292031).

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

506250000 is an frugal number, since it uses more digits than its factorization.

506250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The cubic root of 506250000 is about 796.9939268870.

It can be divided in two parts, 50 and 6250000, that multiplied together give a 5-th power (312500000 = 50⁵).

The spelling of 506250000 in words is "five hundred six million, two hundred fifty thousand".