512211315 has 64 divisors (see below), whose sum is σ = 1037168640. Its totient is φ = 209658240.

The previous prime is 512211283. The next prime is 512211317. The reversal of 512211315 is 513112215.

It is not a de Polignac number, because 512211315 - 2⁵ = 512211283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 512211291 and 512211300.

It is not an unprimeable number, because it can be changed into a prime (512211317) 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, 74076 + ... + 80694.

It is an arithmetic number, because the mean of its divisors is an integer number (16205760).

Almost surely, 2^512211315 is an apocalyptic number.

512211315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

512211315 is an abundant number, since it is smaller than the sum of its proper divisors (524957325).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

512211315 is a wasteful number, since it uses less digits than its factorization.

512211315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712.

The product of its digits is 300, while the sum is 21.

The square root of 512211315 is about 22632.0859621909. The cubic root of 512211315 is about 800.1100447578.

The spelling of 512211315 in words is "five hundred twelve million, two hundred eleven thousand, three hundred fifteen".