513004110111255 has 64 divisors (see below), whose sum is σ = 987488638156800. Its totient is φ = 222161473595520.

The previous prime is 513004110111253. The next prime is 513004110111287. The reversal of 513004110111255 is 552111011400315.

It is not a de Polignac number, because 513004110111255 - 2¹ = 513004110111253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513004110111253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31041600 + ... + 44604810.

It is an arithmetic number, because the mean of its divisors is an integer number (15429509971200).

Almost surely, 2^{513004110111255} is an apocalyptic number.

513004110111255 is a deficient number, since it is larger than the sum of its proper divisors (474484528045545).

513004110111255 is a wasteful number, since it uses less digits than its factorization.

513004110111255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13582204.

The product of its (nonzero) digits is 3000, while the sum is 30.

The spelling of 513004110111255 in words is "five hundred thirteen trillion, four billion, one hundred ten million, one hundred eleven thousand, two hundred fifty-five".