511318980 has 120 divisors (see below), whose sum is σ = 1673888832. Its totient is φ = 130413888.

The previous prime is 511318967. The next prime is 511318993. The reversal of 511318980 is 89813115.

It is an interprime number because it is at equal distance from previous prime (511318967) and next prime (511318993).

It is a super-2 number, since 2×511318980² = 522894198616480800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30399 + ... + 44121.

Almost surely, 2^511318980 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 511318980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836944416).

511318980 is an abundant number, since it is smaller than the sum of its proper divisors (1162569852).

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

511318980 is a wasteful number, since it uses less digits than its factorization.

511318980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13767 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 511318980 is about 22612.3634324234. The cubic root of 511318980 is about 799.6451447038.

The spelling of 511318980 in words is "five hundred eleven million, three hundred eighteen thousand, nine hundred eighty".