514577310130200 has 192 divisors, whose sum is σ = 1665891420053760. Its totient is φ = 131148390827520.

The previous prime is 514577310130181. The next prime is 514577310130243. The reversal of 514577310130200 is 2031013775415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1998567 + ... + 32142633.

It is an arithmetic number, because the mean of its divisors is an integer number (8676517812780).

Almost surely, 2^{514577310130200} is an apocalyptic number.

514577310130200 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 514577310130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832945710026880).

514577310130200 is an abundant number, since it is smaller than the sum of its proper divisors (1151314109923560).

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

514577310130200 is a wasteful number, since it uses less digits than its factorization.

514577310130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30145346 (or 30145337 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 514577310130200 in words is "five hundred fourteen trillion, five hundred seventy-seven billion, three hundred ten million, one hundred thirty thousand, two hundred".