511013552053 has 16 divisors (see below), whose sum is σ = 549811387440. Its totient is φ = 473243959296.

The previous prime is 511013552051. The next prime is 511013552057. The reversal of 511013552053 is 350255310115.

It can be written as a sum of positive squares in 8 ways, for example, as 194655675204 + 316357876849 = 441198^2 + 562457^2 .

It is a cyclic number.

It is not a de Polignac number, because 511013552053 - 2¹ = 511013552051 is a prime.

It is a super-3 number, since 3×511013552053³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511013552051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610368 + ... + 1180921.

It is an arithmetic number, because the mean of its divisors is an integer number (34363211715).

Almost surely, 2^511013552053 is an apocalyptic number.

It is an amenable number.

511013552053 is a deficient number, since it is larger than the sum of its proper divisors (38797835387).

511013552053 is a wasteful number, since it uses less digits than its factorization.

511013552053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791576.

The product of its (nonzero) digits is 11250, while the sum is 31.

Adding to 511013552053 its reverse (350255310115), we get a palindrome (861268862168).

The spelling of 511013552053 in words is "five hundred eleven billion, thirteen million, five hundred fifty-two thousand, fifty-three".