511157020 has 96 divisors (see below), whose sum is σ = 1253568960. Its totient is φ = 173015040.

The previous prime is 511156979. The next prime is 511157027. The reversal of 511157020 is 20751115.

It is a super-2 number, since 2×511157020² = 522562998190560800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 511156982 and 511157000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511157027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362076 + ... + 363484.

It is an arithmetic number, because the mean of its divisors is an integer number (13058010).

Almost surely, 2^511157020 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 511157020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626784480).

511157020 is an abundant number, since it is smaller than the sum of its proper divisors (742411940).

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

511157020 is a wasteful number, since it uses less digits than its factorization.

511157020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 511157020 is about 22608.7819220762. The cubic root of 511157020 is about 799.5607067376.

The spelling of 511157020 in words is "five hundred eleven million, one hundred fifty-seven thousand, twenty".