512064460215 has 48 divisors (see below), whose sum is σ = 1106591256576. Its totient is φ = 212806008000.

The previous prime is 512064460211. The next prime is 512064460247.

512064460215 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 6 + 44 + 602 + 1 + 5 = 666.

512064460215 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 512064460215 - 2² = 512064460211 is a prime.

It is a super-2 number, since 2×512064460215² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 512064460215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512064460211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73887511 + ... + 73894440.

It is an arithmetic number, because the mean of its divisors is an integer number (23053984512).

Almost surely, 2^512064460215 is an apocalyptic number.

512064460215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

512064460215 is an abundant number, since it is smaller than the sum of its proper divisors (594526796361).

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

512064460215 is a wasteful number, since it uses less digits than its factorization.

512064460215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147781980 (or 147781977 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 512064 and 460215, that added together give a palindrome (972279).

The spelling of 512064460215 in words is "five hundred twelve billion, sixty-four million, four hundred sixty thousand, two hundred fifteen".