513666556350 has 48 divisors (see below), whose sum is σ = 1273992530688. Its totient is φ = 136967052640.

The previous prime is 513666556307. The next prime is 513666556363. The reversal of 513666556350 is 53655666315.

It is a happy number.

It is a super-2 number, since 2×513666556350² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513666556293 and 513666556302.

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 23 ways as a sum of consecutive naturals, for example, 1896097 + ... + 2150003.

It is an arithmetic number, because the mean of its divisors is an integer number (26541511056).

Almost surely, 2^513666556350 is an apocalyptic number.

513666556350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

513666556350 is an abundant number, since it is smaller than the sum of its proper divisors (760325974338).

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

513666556350 is a wasteful number, since it uses less digits than its factorization.

513666556350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267409 (or 267404 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 51.

The spelling of 513666556350 in words is "five hundred thirteen billion, six hundred sixty-six million, five hundred fifty-six thousand, three hundred fifty".