59385749626225 has 81 divisors (see below), whose sum is σ = 81526055471371. Its totient is φ = 42879846248800.

The previous prime is 59385749626199. The next prime is 59385749626283. The reversal of 59385749626225 is 52262694758395.

The square root of 59385749626225 is 7706215.

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., 21378869865441 + 38006879760784 = 4623729^2 + 6164972^2 .

It is not a de Polignac number, because 59385749626225 - 2⁷ = 59385749626097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 70781584356 + ... + 70781585194.

Almost surely, 2^{59385749626225} is an apocalyptic number.

59385749626225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

59385749626225 is the 7706215-th square number.

59385749626225 is the 3853108-th centered octagonal number.

It is an amenable number.

59385749626225 is a deficient number, since it is larger than the sum of its proper divisors (22140305845146).

59385749626225 is an frugal number, since it uses more digits than its factorization.

59385749626225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 1022 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 73.

The spelling of 59385749626225 in words is "fifty-nine trillion, three hundred eighty-five billion, seven hundred forty-nine million, six hundred twenty-six thousand, two hundred twenty-five".