511811468100 has 135 divisors (see below), whose sum is σ = 1659299325607. Its totient is φ = 136465888320.

The previous prime is 511811468059. The next prime is 511811468111. The reversal of 511811468100 is 1864118115.

The square root of 511811468100 is 715410.

It is a perfect power (a square), and thus also a powerful number.

511811468100 is a `hidden beast` number, since 5 + 1 + 181 + 1 + 468 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13533599556 + 498277868544 = 116334^2 + 705888^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×511811468100² (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 64382926 + ... + 64390874.

Almost surely, 2^511811468100 is an apocalyptic number.

511811468100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

511811468100 is the 715410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511811468100

511811468100 is an abundant number, since it is smaller than the sum of its proper divisors (1147487857507).

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

511811468100 is an frugal number, since it uses more digits than its factorization.

511811468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 36.

Multiplying 511811468100 by its sum of digits (36), we get a square (18425212851600 = 4292460²).

511811468100 divided by its sum of digits (36) gives a square (14216985225 = 119235²).

The spelling of 511811468100 in words is "five hundred eleven billion, eight hundred eleven million, four hundred sixty-eight thousand, one hundred".