60493815061729 has 27 divisors (see below), whose sum is σ = 70681228419027. Its totient is φ = 51623781504288.

The previous prime is 60493815061699. The next prime is 60493815061739. The reversal of 60493815061729 is 92716051839406.

The square root of 60493815061729 is 7777777.

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., 59199590292129 + 1294224769600 = 7694127^2 + 1137640^2 .

It is not a de Polignac number, because 60493815061729 - 2¹⁷ = 60493814930657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60493815061739) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13012218597 + ... + 13012223245.

It is a 2-persistent number, because it is pandigital, and so is 2⋅60493815061729 = 120987630123458, but 3⋅60493815061729 = 181481445185187 is not.

Almost surely, 2^{60493815061729} is an apocalyptic number.

60493815061729 is the 7777777-th square number.

60493815061729 is the 3888889-th centered octagonal number.

It is an amenable number.

60493815061729 is a deficient number, since it is larger than the sum of its proper divisors (10187413357298).

60493815061729 is an frugal number, since it uses more digits than its factorization.

60493815061729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9790 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 60493815061729 in words is "sixty trillion, four hundred ninety-three billion, eight hundred fifteen million, sixty-one thousand, seven hundred twenty-nine".