258046541 has 2 divisors, whose sum is σ = 258046542. Its totient is φ = 258046540.

The previous prime is 258046513. The next prime is 258046561. The reversal of 258046541 is 145640852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201044041 + 57002500 = 14179^2 + 7550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-258046541 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258046501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129023270 + 129023271.

It is an arithmetic number, because the mean of its divisors is an integer number (129023271).

Almost surely, 2^258046541 is an apocalyptic number.

It is an amenable number.

258046541 is a deficient number, since it is larger than the sum of its proper divisors (1).

258046541 is an equidigital number, since it uses as much as digits as its factorization.

258046541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 258046541 is about 16063.8270969281. The cubic root of 258046541 is about 636.6479533925.

The spelling of 258046541 in words is "two hundred fifty-eight million, forty-six thousand, five hundred forty-one".