258075775253 has 12 divisors (see below), whose sum is σ = 260869049100. Its totient is φ = 255311937216.

The previous prime is 258075775229. The next prime is 258075775277. The reversal of 258075775253 is 352577570852.

It is an interprime number because it is at equal distance from previous prime (258075775229) and next prime (258075775277).

It can be written as a sum of positive squares in 2 ways, for example, as 108568273009 + 149507502244 = 329497^2 + 386662^2 .

It is a de Polignac number, because none of the positive numbers 2^k-258075775253 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 (258075775283) 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 11 ways as a sum of consecutive naturals, for example, 10947323 + ... + 10970871.

It is an arithmetic number, because the mean of its divisors is an integer number (21739087425).

Almost surely, 2^258075775253 is an apocalyptic number.

It is an amenable number.

258075775253 is a deficient number, since it is larger than the sum of its proper divisors (2793273847).

258075775253 is a wasteful number, since it uses less digits than its factorization.

258075775253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24788 (or 24685 counting only the distinct ones).

The product of its (nonzero) digits is 20580000, while the sum is 56.

The spelling of 258075775253 in words is "two hundred fifty-eight billion, seventy-five million, seven hundred seventy-five thousand, two hundred fifty-three".