511106016 has 96 divisors (see below), whose sum is σ = 1371565440. Its totient is φ = 166611456.

The previous prime is 511106009. The next prime is 511106017. The reversal of 511106016 is 610601115.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×511106016² = 522458719182784512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511105983 and 511106001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511106017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1472755 + ... + 1473101.

It is an arithmetic number, because the mean of its divisors is an integer number (14287140).

Almost surely, 2^511106016 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 511106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685782720).

511106016 is an abundant number, since it is smaller than the sum of its proper divisors (860459424).

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

511106016 is a wasteful number, since it uses less digits than its factorization.

511106016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 511106016 is about 22607.6539251644. The cubic root of 511106016 is about 799.5341120715.

The spelling of 511106016 in words is "five hundred eleven million, one hundred six thousand, sixteen".