511797120 has 128 divisors (see below), whose sum is σ = 1643220000. Its totient is φ = 135487488.

The previous prime is 511797119. The next prime is 511797149. The reversal of 511797120 is 21797115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285186 + ... + 286974.

Almost surely, 2^511797120 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 511797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821610000).

511797120 is an abundant number, since it is smaller than the sum of its proper divisors (1131422880).

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

511797120 is a wasteful number, since it uses less digits than its factorization.

511797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 511797120 is about 22622.9334967860. The cubic root of 511797120 is about 799.8943193735.

The spelling of 511797120 in words is "five hundred eleven million, seven hundred ninety-seven thousand, one hundred twenty".