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1125938025 = 325222372
BaseRepresentation
bin100001100011100…
…0111001101101001
32220110122120121100
41003013013031221
54301220004100
6303420432013
736621213102
oct10307071551
92813576540
101125938025
115286209a3
122750a8609
1314c362b24
14a97713a9
1568cab400
hex431c7369

1125938025 has 27 divisors (see below), whose sum is σ = 2017582021. Its totient is φ = 600231840.

The previous prime is 1125937991. The next prime is 1125938053. The reversal of 1125938025 is 5208395211.

The square root of 1125938025 is 33555.

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

1125938025 is a `hidden beast` number, since 1 + 1 + 259 + 380 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33767721 + 1092170304 = 5811^2 + 33048^2 .

It is not a de Polignac number, because 1125938025 - 211 = 1125935977 is a prime.

It is a super-2 number, since 2×11259380252 = 2535472872281801250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 502207 + ... + 504443.

Almost surely, 21125938025 is an apocalyptic number.

1125938025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1125938025 is the 33555-th square number.

1125938025 is the 16778-th centered octagonal number.

It is an amenable number.

1125938025 is a deficient number, since it is larger than the sum of its proper divisors (891643996).

1125938025 is an frugal number, since it uses more digits than its factorization.

1125938025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The cubic root of 1125938025 is about 1040.3308935384.

Multiplying 1125938025 by its sum of digits (36), we get a square (40533768900 = 2013302).

It can be divided in two parts, 11259 and 38025, that added together give a square (49284 = 2222).

The spelling of 1125938025 in words is "one billion, one hundred twenty-five million, nine hundred thirty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2237 6711 11185 20133 33555 55925 100665 167775 503325 5004169 15012507 25020845 45037521 75062535 125104225 225187605 375312675 1125938025