60774575625 has 135 divisors (see below), whose sum is σ = 116447224179. Its totient is φ = 30529656000.

The previous prime is 60774575513. The next prime is 60774575681. The reversal of 60774575625 is 52657547706.

The square root of 60774575625 is 246525.

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

60774575625 is a `hidden beast` number, since 6 + 0 + 7 + 7 + 4 + 5 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 18761054841 + 42013520784 = 136971^2 + 204972^2 .

It is not a de Polignac number, because 60774575625 - 2¹¹ = 60774573577 is a prime.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 351298039 + ... + 351298211.

Almost surely, 2^60774575625 is an apocalyptic number.

60774575625 is the 246525-th square number.

60774575625 is the 123263-rd centered octagonal number.

It is an amenable number.

60774575625 is a deficient number, since it is larger than the sum of its proper divisors (55672648554).

60774575625 is an equidigital number, since it uses as much as digits as its factorization.

60774575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 60774575625 in words is "sixty billion, seven hundred seventy-four million, five hundred seventy-five thousand, six hundred twenty-five".