511106316889 has 81 divisors (see below), whose sum is σ = 634618955901. Its totient is φ = 410419551360.

The previous prime is 511106316887. The next prime is 511106316901. The reversal of 511106316889 is 988613601115.

It is a happy number.

The square root of 511106316889 is 714917.

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

It can be written as a sum of positive squares in 4 ways, for example, as 55335505225 + 455770811664 = 235235^2 + 675108^2 .

It is not a de Polignac number, because 511106316889 - 2¹ = 511106316887 is a prime.

It is a super-2 number, since 2×511106316889² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (511106316881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9643515387 + ... + 9643515439.

Almost surely, 2^511106316889 is an apocalyptic number.

511106316889 is the 714917-th square number.

511106316889 is the 357459-th centered octagonal number.

It is an amenable number.

511106316889 is a deficient number, since it is larger than the sum of its proper divisors (123512639012).

511106316889 is an frugal number, since it uses more digits than its factorization.

511106316889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 49.

Multiplying 511106316889 by its sum of digits (49), we get a square (25044209527561 = 5004419²).

511106316889 divided by its sum of digits (49) gives a square (10430741161 = 102131²).

The spelling of 511106316889 in words is "five hundred eleven billion, one hundred six million, three hundred sixteen thousand, eight hundred eighty-nine".