514921056400 has 45 divisors (see below), whose sum is σ = 1237132318681. Its totient is φ = 205962681920.

The previous prime is 514921056301. The next prime is 514921056451. The reversal of 514921056400 is 4650129415.

The square root of 514921056400 is 717580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 185371580304 + 329549476096 = 430548^2 + 574064^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 514921056400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14333661 + ... + 14369539.

Almost surely, 2^514921056400 is an apocalyptic number.

514921056400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

514921056400 is the 717580-th square number.

It is an amenable number.

514921056400 is an abundant number, since it is smaller than the sum of its proper divisors (722211262281).

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

514921056400 is an frugal number, since it uses more digits than its factorization.

514921056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71776 (or 35886 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 514921056400 in words is "five hundred fourteen billion, nine hundred twenty-one million, fifty-six thousand, four hundred".