258670898396001 has 81 divisors (see below), whose sum is σ = 470650957896249. Its totient is φ = 136439476572672.

The previous prime is 258670898395969. The next prime is 258670898396087. The reversal of 258670898396001 is 100693898076852.

The square root of 258670898396001 is 16083249.

It is a perfect power (a square), and thus also a powerful number.

258670898396001 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 7 + 0 + 8 + 9 + 8 + 3 + 9 + 600 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7675952843601 + 250994945552400 = 2770551^2 + 15842820^2 .

It is not a de Polignac number, because 258670898396001 - 2⁵ = 258670898395969 is a prime.

It is a super-2 number, since 2×258670898396001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258670890396001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4390697521 + ... + 4390756433.

Almost surely, 2^{258670898396001} is an apocalyptic number.

258670898396001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

258670898396001 is the 16083249-th square number.

258670898396001 is the 8041625-th centered octagonal number.

It is an amenable number.

258670898396001 is a deficient number, since it is larger than the sum of its proper divisors (211980059500248).

258670898396001 is an frugal number, since it uses more digits than its factorization.

258670898396001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117872 (or 58936 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 258670898396001 in words is "two hundred fifty-eight trillion, six hundred seventy billion, eight hundred ninety-eight million, three hundred ninety-six thousand, one".