513220101350 has 96 divisors (see below), whose sum is σ = 1116017070336. Its totient is φ = 173686550400.

The previous prime is 513220101343. The next prime is 513220101353. The reversal of 513220101350 is 53101022315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513220101353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80204 + ... + 1016303.

It is an arithmetic number, because the mean of its divisors is an integer number (11625177816).

Almost surely, 2^513220101350 is an apocalyptic number.

513220101350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

513220101350 is an abundant number, since it is smaller than the sum of its proper divisors (602796968986).

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

513220101350 is a wasteful number, since it uses less digits than its factorization.

513220101350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096590 (or 1096585 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 513220101350 its reverse (53101022315), we get a palindrome (566321123665).

The spelling of 513220101350 in words is "five hundred thirteen billion, two hundred twenty million, one hundred one thousand, three hundred fifty".