513105501315 has 32 divisors (see below), whose sum is σ = 924492736512. Its totient is φ = 240753312000.

The previous prime is 513105501313. The next prime is 513105501317.

513105501315 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (513105501313) and next prime (513105501317).

It is not a de Polignac number, because 513105501315 - 2¹ = 513105501313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513105501313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50151826 + ... + 50162055.

It is an arithmetic number, because the mean of its divisors is an integer number (28890398016).

Almost surely, 2^513105501315 is an apocalyptic number.

513105501315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513105501315 is a deficient number, since it is larger than the sum of its proper divisors (411387235197).

513105501315 is a wasteful number, since it uses less digits than its factorization.

513105501315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100313931.

The product of its (nonzero) digits is 5625, while the sum is 30.

The spelling of 513105501315 in words is "five hundred thirteen billion, one hundred five million, five hundred one thousand, three hundred fifteen".