510011211006 has 144 divisors (see below), whose sum is σ = 1232949070080. Its totient is φ = 152225330400.

The previous prime is 510011210983. The next prime is 510011211011. The reversal of 510011211006 is 600112110015.

It is a happy number.

It is a super-2 number, since 2×510011211006² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 510011211006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76220121 + ... + 76226811.

It is an arithmetic number, because the mean of its divisors is an integer number (8562146320).

Almost surely, 2^510011211006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510011211006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616474535040).

510011211006 is an abundant number, since it is smaller than the sum of its proper divisors (722937859074).

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

510011211006 is a wasteful number, since it uses less digits than its factorization.

510011211006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The spelling of 510011211006 in words is "five hundred ten billion, eleven million, two hundred eleven thousand, six".