258827988101 has 16 divisors (see below), whose sum is σ = 271666272384. Its totient is φ = 246126042624.

The previous prime is 258827988079. The next prime is 258827988121. The reversal of 258827988101 is 101889728852.

It is not a de Polignac number, because 258827988101 - 2²² = 258823793797 is a prime.

It is a super-2 number, since 2×258827988101² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258827988121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641481 + ... + 2737713.

It is an arithmetic number, because the mean of its divisors is an integer number (16979142024).

Almost surely, 2^258827988101 is an apocalyptic number.

It is an amenable number.

258827988101 is a deficient number, since it is larger than the sum of its proper divisors (12838284283).

258827988101 is a wasteful number, since it uses less digits than its factorization.

258827988101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96940.

The product of its (nonzero) digits is 5160960, while the sum is 59.

The spelling of 258827988101 in words is "two hundred fifty-eight billion, eight hundred twenty-seven million, nine hundred eighty-eight thousand, one hundred one".