513152205210 has 56 divisors (see below), whose sum is σ = 1384877452500. Its totient is φ = 136840586112.

The previous prime is 513152205197. The next prime is 513152205259. The reversal of 513152205210 is 12502251315.

513152205210 is a `hidden beast` number, since 5 + 131 + 5 + 2 + 2 + 0 + 521 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 511283631681 + 1868573529 = 715041^2 + 43227^2 .

It is a super-2 number, since 2×513152205210² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 35188335 + ... + 35202914.

Almost surely, 2^513152205210 is an apocalyptic number.

513152205210 is an abundant number, since it is smaller than the sum of its proper divisors (871725247290).

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

513152205210 is an equidigital number, since it uses as much as digits as its factorization.

513152205210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70391274 (or 70391259 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 513152205210 its reverse (12502251315), we get a palindrome (525654456525).

The spelling of 513152205210 in words is "five hundred thirteen billion, one hundred fifty-two million, two hundred five thousand, two hundred ten".