511020004001 has 16 divisors (see below), whose sum is σ = 551185496400. Its totient is φ = 470977348608.

The previous prime is 511020003997. The next prime is 511020004003. The reversal of 511020004001 is 100400020115.

It can be written as a sum of positive squares in 8 ways, for example, as 111722394001 + 399297610000 = 334249^2 + 631900^2 .

It is not a de Polignac number, because 511020004001 - 2² = 511020003997 is a prime.

It is a super-2 number, since 2×511020004001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (511020004003) 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, 28116845 + ... + 28135013.

It is an arithmetic number, because the mean of its divisors is an integer number (34449093525).

Almost surely, 2^511020004001 is an apocalyptic number.

It is an amenable number.

511020004001 is a deficient number, since it is larger than the sum of its proper divisors (40165492399).

511020004001 is a wasteful number, since it uses less digits than its factorization.

511020004001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21428.

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 511020004001 its reverse (100400020115), we get a palindrome (611420024116).

The spelling of 511020004001 in words is "five hundred eleven billion, twenty million, four thousand, one".