493745731752100 has 27 divisors (see below), whose sum is σ = 1071428720084737. Its totient is φ = 197498203819280.

The previous prime is 493745731752089. The next prime is 493745731752107. The reversal of 493745731752100 is 1257137547394.

The square root of 493745731752100 is 22220390.

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., 177748463430756 + 315997268321344 = 13332234^2 + 17776312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (493745731752107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 221092881 + ... + 223314919.

Almost surely, 2^{493745731752100} is an apocalyptic number.

493745731752100 is the 22220390-th square number.

It is an amenable number.

493745731752100 is an abundant number, since it is smaller than the sum of its proper divisors (577682988332637).

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

493745731752100 is an frugal number, since it uses more digits than its factorization.

493745731752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444092 (or 2222046 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 58.

The spelling of 493745731752100 in words is "four hundred ninety-three trillion, seven hundred forty-five billion, seven hundred thirty-one million, seven hundred fifty-two thousand, one hundred".