513331350264 has 32 divisors (see below), whose sum is σ = 1425920418000. Its totient is φ = 171110450016.

The previous prime is 513331350241. The next prime is 513331350289. The reversal of 513331350264 is 462053133315.

513331350264 is a `hidden beast` number, since 5 + 1 + 33 + 313 + 50 + 264 = 666.

It is a super-2 number, since 2×513331350264² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1188266799 + ... + 1188267230.

Almost surely, 2^513331350264 is an apocalyptic number.

513331350264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

513331350264 is an abundant number, since it is smaller than the sum of its proper divisors (912589067736).

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

513331350264 is a wasteful number, since it uses less digits than its factorization.

513331350264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376534044 (or 2376534034 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 513331350264 its reverse (462053133315), we get a palindrome (975384483579).

The spelling of 513331350264 in words is "five hundred thirteen billion, three hundred thirty-one million, three hundred fifty thousand, two hundred sixty-four".