511250080 has 96 divisors (see below), whose sum is σ = 1334672640. Its totient is φ = 183505920.

The previous prime is 511250071. The next prime is 511250083. The reversal of 511250080 is 80052115.

It is a super-2 number, since 2×511250080² = 522753288600012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (511250083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137202 + ... + 140878.

It is an arithmetic number, because the mean of its divisors is an integer number (13902840).

Almost surely, 2^511250080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667336320).

511250080 is an abundant number, since it is smaller than the sum of its proper divisors (823422560).

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

511250080 is a wasteful number, since it uses less digits than its factorization.

511250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 511250080 is about 22610.8398782531. The cubic root of 511250080 is about 799.6092258172.

The spelling of 511250080 in words is "five hundred eleven million, two hundred fifty thousand, eighty".