511105100004 has 36 divisors (see below), whose sum is σ = 1298518305084. Its totient is φ = 169503550272.

The previous prime is 511105099949. The next prime is 511105100017. The reversal of 511105100004 is 400001501115.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 460660838400 + 50444261604 = 678720^2 + 224598^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×511105100004² (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 511105100004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36026827 + ... + 36041010.

It is an arithmetic number, because the mean of its divisors is an integer number (36069952919).

Almost surely, 2^511105100004 is an apocalyptic number.

It is an amenable number.

511105100004 is an abundant number, since it is smaller than the sum of its proper divisors (787413205080).

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

511105100004 is a wasteful number, since it uses less digits than its factorization.

511105100004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72068044 (or 72068039 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 511105100004 its reverse (400001501115), we get a palindrome (911106601119).

The spelling of 511105100004 in words is "five hundred eleven billion, one hundred five million, one hundred thousand, four".