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257130025 = 5297106033
BaseRepresentation
bin11110101001101…
…11111000101001
3122220211120002021
433110313320221
51011311130100
641303104441
76241366135
oct1724677051
9586746067
10257130025
11122163659
1272142121
134136ab59
14262143c5
1517891a1a
hexf537e29

257130025 has 12 divisors (see below), whose sum is σ = 322131292. Its totient is φ = 203581440.

The previous prime is 257130023. The next prime is 257130053. The reversal of 257130025 is 520031752.

It can be written as a sum of positive squares in 6 ways, for example, as 39980329 + 217149696 = 6323^2 + 14736^2 .

It is not a de Polignac number, because 257130025 - 21 = 257130023 is a prime.

It is a super-2 number, since 2×2571300252 = 132231699513001250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257130023) 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 11 ways as a sum of consecutive naturals, for example, 50592 + ... + 55441.

Almost surely, 2257130025 is an apocalyptic number.

257130025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257130025 is a deficient number, since it is larger than the sum of its proper divisors (65001267).

257130025 is a wasteful number, since it uses less digits than its factorization.

257130025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106140 (or 106135 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 257130025 is about 16035.2743974027. The cubic root of 257130025 is about 635.8933218027.

Adding to 257130025 its reverse (520031752), we get a palindrome (777161777).

The spelling of 257130025 in words is "two hundred fifty-seven million, one hundred thirty thousand, twenty-five".

Divisors: 1 5 25 97 485 2425 106033 530165 2650825 10285201 51426005 257130025