513212304121215 has 64 divisors (see below), whose sum is σ = 845630127248256. Its totient is φ = 265663263670272.

The previous prime is 513212304121199. The next prime is 513212304121243. The reversal of 513212304121215 is 512121403212315.

It is not a de Polignac number, because 513212304121215 - 2⁴ = 513212304121199 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173818437 + ... + 176746353.

It is an arithmetic number, because the mean of its divisors is an integer number (13212970738254).

Almost surely, 2^{513212304121215} is an apocalyptic number.

513212304121215 is a deficient number, since it is larger than the sum of its proper divisors (332417823127041).

513212304121215 is a wasteful number, since it uses less digits than its factorization.

513212304121215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930348.

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 513212304121215 in words is "five hundred thirteen trillion, two hundred twelve billion, three hundred four million, one hundred twenty-one thousand, two hundred fifteen".