513510054005255 has 256 divisors, whose sum is σ = 733244919644160. Its totient is φ = 342362242252800.

The previous prime is 513510054005189. The next prime is 513510054005309. The reversal of 513510054005255 is 552500450015315.

It is not a de Polignac number, because 513510054005255 - 2¹⁰ = 513510054004231 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 141736143374 + ... + 141736146996.

It is an arithmetic number, because the mean of its divisors is an integer number (2864237967360).

Almost surely, 2^{513510054005255} is an apocalyptic number.

513510054005255 is a deficient number, since it is larger than the sum of its proper divisors (219734865638905).

513510054005255 is a wasteful number, since it uses less digits than its factorization.

513510054005255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222.

The product of its (nonzero) digits is 375000, while the sum is 41.

The spelling of 513510054005255 in words is "five hundred thirteen trillion, five hundred ten billion, fifty-four million, five thousand, two hundred fifty-five".