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253151325 = 355275953
BaseRepresentation
bin11110001011011…
…00100001011101
3122122100102100000
433011230201131
51004301320300
641041524513
76162515340
oct1705544135
9578312300
10253151325
1111a996379
1270943739
13405a6bab
142589a457
1517357c00
hexf16c85d

253151325 has 72 divisors (see below), whose sum is σ = 537479488. Its totient is φ = 115706880.

The previous prime is 253151323. The next prime is 253151401. The reversal of 253151325 is 523151352.

It is a happy number.

253151325 is a `hidden beast` number, since 25 + 315 + 1 + 325 = 666.

It is not a de Polignac number, because 253151325 - 21 = 253151323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253151323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39549 + ... + 45501.

Almost surely, 2253151325 is an apocalyptic number.

253151325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253151325 is the 8505-th nonagonal number.

It is an amenable number.

253151325 is an abundant number, since it is smaller than the sum of its proper divisors (284328163).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253151325 is an equidigital number, since it uses as much as digits as its factorization.

253151325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5968 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 253151325 is about 15910.7298701222. The cubic root of 253151325 is about 632.5964274654.

Adding to 253151325 its sum of digits (27), we get a palindrome (253151352).

The spelling of 253151325 in words is "two hundred fifty-three million, one hundred fifty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 243 315 405 525 567 675 945 1215 1575 1701 2025 2835 4725 5953 6075 8505 14175 17859 29765 41671 42525 53577 89295 125013 148825 160731 208355 267885 375039 446475 482193 625065 803655 1041775 1125117 1339425 1446579 1875195 2410965 3125325 3375351 4018275 5625585 7232895 9375975 10126053 12054825 16876755 28127925 36164475 50630265 84383775 253151325