511180800001 has 2 divisors, whose sum is σ = 511180800002. Its totient is φ = 511180800000.

The previous prime is 511180799953. The next prime is 511180800017. The reversal of 511180800001 is 100008081115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 494140108401 + 17040691600 = 702951^2 + 130540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-511180800001 is a prime.

It is a super-2 number, since 2×511180800001² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (511180800401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255590400000 + 255590400001.

It is an arithmetic number, because the mean of its divisors is an integer number (255590400001).

It is a Proth number, since it is equal to 121875 ⋅ 2²² + 1 and 121875 < 2²².

Almost surely, 2^511180800001 is an apocalyptic number.

It is an amenable number.

511180800001 is a deficient number, since it is larger than the sum of its proper divisors (1).

511180800001 is an equidigital number, since it uses as much as digits as its factorization.

511180800001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320, while the sum is 25.

Adding to 511180800001 its reverse (100008081115), we get a palindrome (611188881116).

The spelling of 511180800001 in words is "five hundred eleven billion, one hundred eighty million, eight hundred thousand, one".