513332314400255 has 8 divisors (see below), whose sum is σ = 703998602606112. Its totient is φ = 351999301303008.

The previous prime is 513332314400239. The next prime is 513332314400263. The reversal of 513332314400255 is 552004413233315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513332314400255 - 2⁴ = 513332314400239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7333318777112 + ... + 7333318777181.

It is an arithmetic number, because the mean of its divisors is an integer number (87999825325764).

Almost surely, 2^{513332314400255} is an apocalyptic number.

513332314400255 is a deficient number, since it is larger than the sum of its proper divisors (190666288205857).

513332314400255 is a wasteful number, since it uses less digits than its factorization.

513332314400255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14666637554305.

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 513332314400255 in words is "five hundred thirteen trillion, three hundred thirty-two billion, three hundred fourteen million, four hundred thousand, two hundred fifty-five".