512261361300 has 288 divisors, whose sum is σ = 1701003128832. Its totient is φ = 118045509120.

The previous prime is 512261361299. The next prime is 512261361307. The reversal of 512261361300 is 3163162215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512261361307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4155147 + ... + 4276653.

It is an arithmetic number, because the mean of its divisors is an integer number (5906260864).

Almost surely, 2^512261361300 is an apocalyptic number.

512261361300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512261361300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850501564416).

512261361300 is an abundant number, since it is smaller than the sum of its proper divisors (1188741767532).

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

512261361300 is a wasteful number, since it uses less digits than its factorization.

512261361300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121607 (or 121600 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 512261361300 in words is "five hundred twelve billion, two hundred sixty-one million, three hundred sixty-one thousand, three hundred".