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257135069 = 619743457
BaseRepresentation
bin11110101001110…
…01000111011101
3122220211211000002
433110321013131
51011311310234
641303144045
76241416632
oct1724710735
9586754002
10257135069
11122167424
1272145025
1341370239
1426216189
151789327e
hexf5391dd

257135069 has 8 divisors (see below), whose sum is σ = 264050808. Its totient is φ = 250306560.

The previous prime is 257135063. The next prime is 257135119. The reversal of 257135069 is 960531752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3115225 + 254019844 = 1765^2 + 15938^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257135069 - 224 = 240357853 is a prime.

It is a super-2 number, since 2×2571350692 = 132236887419269522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257135063) 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 7 ways as a sum of consecutive naturals, for example, 15812 + ... + 27645.

It is an arithmetic number, because the mean of its divisors is an integer number (33006351).

Almost surely, 2257135069 is an apocalyptic number.

It is an amenable number.

257135069 is a deficient number, since it is larger than the sum of its proper divisors (6915739).

257135069 is an equidigital number, since it uses as much as digits as its factorization.

257135069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43615.

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 257135069 is about 16035.4316748880. The cubic root of 257135069 is about 635.8974797833.

The spelling of 257135069 in words is "two hundred fifty-seven million, one hundred thirty-five thousand, sixty-nine".

Divisors: 1 61 97 5917 43457 2650877 4215329 257135069