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425893286025 = 325213923132
BaseRepresentation
bin1100011001010010011…
…01111101000010001001
31111201022020100120212100
412030221031331002021
523434212140123100
6523352551104013
742525014125554
oct6145115750211
91451266316770
10425893286025
11154690725439
126a65a972009
1331213c5a26c
141688303969b
15b129c1d400
hex632937d089

425893286025 has 81 divisors (see below), whose sum is σ = 770812241589. Its totient is φ = 224788487040.

The previous prime is 425893285999. The next prime is 425893286083. The reversal of 425893286025 is 520682398524.

The square root of 425893286025 is 652605.

It is a perfect power (a square), and thus also a powerful number.

425893286025 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 9 + 3 + 28 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 239258917881 + 186634368144 = 489141^2 + 432012^2 .

It is not a de Polignac number, because 425893286025 - 27 = 425893285897 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1360681269 + ... + 1360681581.

Almost surely, 2425893286025 is an apocalyptic number.

425893286025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

425893286025 is the 652605-th square number.

425893286025 is the 326303-rd centered octagonal number.

It is an amenable number.

425893286025 is a deficient number, since it is larger than the sum of its proper divisors (344918955564).

425893286025 is an equidigital number, since it uses as much as digits as its factorization.

425893286025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 425893286025 in words is "four hundred twenty-five billion, eight hundred ninety-three million, two hundred eighty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 139 225 313 417 695 939 1251 1565 2085 2817 3475 4695 6255 7825 10425 14085 19321 23475 31275 43507 57963 70425 96605 97969 130521 173889 217535 289815 293907 391563 483025 489845 652605 869445 881721 1087675 1449075 1469535 1957815 2449225 3263025 4347225 4408605 6047473 7347675 9789075 13617691 18142419 22043025 30237365 40853073 54427257 68088455 90712095 122559219 151186825 204265365 272136285 340442275 453560475 612796095 1021326825 1360681425 1892859049 3063980475 5678577147 9464295245 17035731441 28392885735 47321476225 85178657205 141964428675 425893286025