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257130013 = 782744417
BaseRepresentation
bin11110101001101…
…11111000011101
3122220211120001211
433110313320131
51011311130023
641303104421
76241366120
oct1724677035
9586746054
10257130013
11122163648
1272142111
134136ab4a
14262143b7
1517891a0d
hexf537e1d

257130013 has 8 divisors (see below), whose sum is σ = 294224832. Its totient is φ = 220125696.

The previous prime is 257130007. The next prime is 257130023. The reversal of 257130013 is 310031752.

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

It is not a de Polignac number, because 257130013 - 29 = 257129501 is a prime.

It is a super-2 number, since 2×2571300132 = 132231687170760338, which 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 (257130023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16420 + ... + 27997.

It is an arithmetic number, because the mean of its divisors is an integer number (36778104).

Almost surely, 2257130013 is an apocalyptic number.

It is an amenable number.

257130013 is a deficient number, since it is larger than the sum of its proper divisors (37094819).

257130013 is an equidigital number, since it uses as much as digits as its factorization.

257130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45251.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 257130013 is about 16035.2740232277. The cubic root of 257130013 is about 635.8933119105.

Adding to 257130013 its reverse (310031752), we get a palindrome (567161765).

The spelling of 257130013 in words is "two hundred fifty-seven million, one hundred thirty thousand, thirteen".

Divisors: 1 7 827 5789 44417 310919 36732859 257130013