513212345100 has 216 divisors, whose sum is σ = 1979859496160. Its totient is φ = 108282147840.

The previous prime is 513212345071. The next prime is 513212345117. The reversal of 513212345100 is 1543212315.

513212345100 is a `hidden beast` number, since 5 + 1 + 3 + 212 + 345 + 100 = 666.

It is a super-2 number, since 2×513212345100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3051265 + ... + 3215064.

Almost surely, 2^513212345100 is an apocalyptic number.

513212345100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513212345100 is an abundant number, since it is smaller than the sum of its proper divisors (1466647151060).

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

513212345100 is a wasteful number, since it uses less digits than its factorization.

513212345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266369 (or 6266359 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 513212345100 its reverse (1543212315), we get a palindrome (514755557415).

The spelling of 513212345100 in words is "five hundred thirteen billion, two hundred twelve million, three hundred forty-five thousand, one hundred".