258101253 has 12 divisors (see below), whose sum is σ = 373441068. Its totient is φ = 171777600.

The previous prime is 258101251. The next prime is 258101267. The reversal of 258101253 is 352101852.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 147914244 + 110187009 = 12162^2 + 10497^2 .

It is not a de Polignac number, because 258101253 - 2¹ = 258101251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258101251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18450 + ... + 29267.

It is an arithmetic number, because the mean of its divisors is an integer number (31120089).

Almost surely, 2^258101253 is an apocalyptic number.

It is an amenable number.

258101253 is a deficient number, since it is larger than the sum of its proper divisors (115339815).

258101253 is a wasteful number, since it uses less digits than its factorization.

258101253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48324 (or 48321 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 258101253 is about 16065.5299632474. The cubic root of 258101253 is about 636.6929450456.

The spelling of 258101253 in words is "two hundred fifty-eight million, one hundred one thousand, two hundred fifty-three".