58515241 has 16 divisors (see below), whose sum is σ = 65212560. Its totient is φ = 52254720.

The previous prime is 58515239. The next prime is 58515251. The reversal of 58515241 is 14251585.

It can be written as a sum of positive squares in 8 ways, for example, as 2205225 + 56310016 = 1485^2 + 7504^2 .

It is a 6-Lehmer number, since φ(58515241) divides (58515241-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 58515241 - 2¹ = 58515239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58515251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24655 + ... + 26923.

It is an arithmetic number, because the mean of its divisors is an integer number (4075785).

Almost surely, 2^58515241 is an apocalyptic number.

It is an amenable number.

58515241 is a deficient number, since it is larger than the sum of its proper divisors (6697319).

58515241 is a wasteful number, since it uses less digits than its factorization.

58515241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364.

The product of its digits is 8000, while the sum is 31.

The square root of 58515241 is about 7649.5255408424. The cubic root of 58515241 is about 388.2305131989.

The spelling of 58515241 in words is "fifty-eight million, five hundred fifteen thousand, two hundred forty-one".