511532311031201 has 2 divisors, whose sum is σ = 511532311031202. Its totient is φ = 511532311031200.

The previous prime is 511532311031179. The next prime is 511532311031213. The reversal of 511532311031201 is 102130113235115.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 470761544761600 + 40770766269601 = 21697040^2 + 6385199^2 .

It is a cyclic number.

It is not a de Polignac number, because 511532311031201 - 2³⁴ = 511515131162017 is a prime.

It is not a weakly prime, because it can be changed into another prime (511532311031801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255766155515600 + 255766155515601.

It is an arithmetic number, because the mean of its divisors is an integer number (255766155515601).

Almost surely, 2^{511532311031201} is an apocalyptic number.

It is an amenable number.

511532311031201 is a deficient number, since it is larger than the sum of its proper divisors (1).

511532311031201 is an equidigital number, since it uses as much as digits as its factorization.

511532311031201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 29.

Adding to 511532311031201 its reverse (102130113235115), we get a palindrome (613662424266316).

The spelling of 511532311031201 in words is "five hundred eleven trillion, five hundred thirty-two billion, three hundred eleven million, thirty-one thousand, two hundred one".