257553652417269 has 32 divisors (see below), whose sum is σ = 372884269296000. Its totient is φ = 157183128910080.

The previous prime is 257553652417231. The next prime is 257553652417291. The reversal of 257553652417269 is 962714256355752.

It is not a de Polignac number, because 257553652417269 - 2³³ = 257545062482677 is a prime.

It is a super-2 number, since 2×257553652417269² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257553652417069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8358514 + ... + 24186195.

It is an arithmetic number, because the mean of its divisors is an integer number (11652633415500).

Almost surely, 2^{257553652417269} is an apocalyptic number.

It is an amenable number.

257553652417269 is a deficient number, since it is larger than the sum of its proper divisors (115330616878731).

257553652417269 is a wasteful number, since it uses less digits than its factorization.

257553652417269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32546405.

The product of its digits is 952560000, while the sum is 69.

The spelling of 257553652417269 in words is "two hundred fifty-seven trillion, five hundred fifty-three billion, six hundred fifty-two million, four hundred seventeen thousand, two hundred sixty-nine".