511180020 has 72 divisors (see below), whose sum is σ = 1669862376. Its totient is φ = 125828352.

The previous prime is 511180003. The next prime is 511180031. The reversal of 511180020 is 20081115.

It can be written as a sum of positive squares in 4 ways, for example, as 46949904 + 464230116 = 6852^2 + 21546^2 .

It is a super-2 number, since 2×511180020² = 522610025694400800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 511179975 and 511180002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106887 + ... + 111566.

It is an arithmetic number, because the mean of its divisors is an integer number (23192533).

Almost surely, 2^511180020 is an apocalyptic number.

It is an amenable number.

511180020 is an abundant number, since it is smaller than the sum of its proper divisors (1158682356).

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

511180020 is a wasteful number, since it uses less digits than its factorization.

511180020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218481 (or 218476 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 511180020 is about 22609.2905682598. The cubic root of 511180020 is about 799.5726988912.

The spelling of 511180020 in words is "five hundred eleven million, one hundred eighty thousand, twenty".