58083410025 has 27 divisors (see below), whose sum is σ = 104040316471. Its totient is φ = 30975890640.

The previous prime is 58083409991. The next prime is 58083410029. The reversal of 58083410025 is 52001438085.

It is a happy number.

The square root of 58083410025 is 241005.

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., 20910027609 + 37173382416 = 144603^2 + 192804^2 .

It is not a de Polignac number, because 58083410025 - 2¹³ = 58083401833 is a prime.

It is a super-3 number, since 3×58083410025³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58083410029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3607042 + ... + 3623108.

Almost surely, 2^58083410025 is an apocalyptic number.

58083410025 is the 241005-th square number.

58083410025 is the 120503-rd centered octagonal number.

It is an amenable number.

58083410025 is a deficient number, since it is larger than the sum of its proper divisors (45956906446).

58083410025 is an frugal number, since it uses more digits than its factorization.

58083410025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32150 (or 16075 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 58083410025 by its sum of digits (36), we get a square (2091002760900 = 1446030²).

The spelling of 58083410025 in words is "fifty-eight billion, eighty-three million, four hundred ten thousand, twenty-five".