58259254200625 has 45 divisors (see below), whose sum is σ = 76838829181191. Its totient is φ = 44151634332000.

The previous prime is 58259254200583. The next prime is 58259254200661. The reversal of 58259254200625 is 52600245295285.

It is a happy number.

The square root of 58259254200625 is 7632775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 54783430905889 + 3475823294736 = 7401583^2 + 1864356^2 .

It is not a de Polignac number, because 58259254200625 - 2¹¹ = 58259254198577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3625560091 + ... + 3625576159.

Almost surely, 2^{58259254200625} is an apocalyptic number.

58259254200625 is the 7632775-th square number.

58259254200625 is the 3816388-th centered octagonal number.

It is an amenable number.

58259254200625 is a deficient number, since it is larger than the sum of its proper divisors (18579574980566).

58259254200625 is an frugal number, since it uses more digits than its factorization.

58259254200625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32196 (or 16093 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 55.

The spelling of 58259254200625 in words is "fifty-eight trillion, two hundred fifty-nine billion, two hundred fifty-four million, two hundred thousand, six hundred twenty-five".