58259201 has 48 divisors (see below), whose sum is σ = 81445248. Its totient is φ = 40772160.

The previous prime is 58259191. The next prime is 58259219. The reversal of 58259201 is 10295285.

It is not a de Polignac number, because 58259201 - 2¹⁸ = 57997057 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58259291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1574555 + ... + 1574591.

It is an arithmetic number, because the mean of its divisors is an integer number (1696776).

Almost surely, 2^58259201 is an apocalyptic number.

It is an amenable number.

58259201 is a deficient number, since it is larger than the sum of its proper divisors (23186047).

58259201 is a wasteful number, since it uses less digits than its factorization.

58259201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 58259201 is about 7632.7715149872. The cubic root of 58259201 is about 387.6634365725.

The spelling of 58259201 in words is "fifty-eight million, two hundred fifty-nine thousand, two hundred one".