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125125253 = 11217591031
BaseRepresentation
bin1110111010101…
…00001010000101
322201110000120122
413131110022011
5224013002003
620225511325
73046355441
oct735241205
9281400518
10125125253
11646a2500
1235aa2545
131cbcca16
1412891821
15aeb9238
hex7754285

125125253 has 24 divisors (see below), whose sum is σ = 148236480. Its totient is φ = 105142400.

The previous prime is 125125243. The next prime is 125125277. The reversal of 125125253 is 352521521.

It is not a de Polignac number, because 125125253 - 24 = 125125237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125125243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120848 + ... + 121878.

It is an arithmetic number, because the mean of its divisors is an integer number (6176520).

Almost surely, 2125125253 is an apocalyptic number.

It is an amenable number.

125125253 is a deficient number, since it is larger than the sum of its proper divisors (23111227).

125125253 is a wasteful number, since it uses less digits than its factorization.

125125253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1118 counting only the distinct ones).

The product of its digits is 3000, while the sum is 26.

The square root of 125125253 is about 11185.9399694438. The cubic root of 125125253 is about 500.1669482504.

Adding to 125125253 its reverse (352521521), we get a palindrome (477646774).

The spelling of 125125253 in words is "one hundred twenty-five million, one hundred twenty-five thousand, two hundred fifty-three".

Divisors: 1 11 17 59 121 187 649 1003 1031 2057 7139 11033 11341 17527 60829 121363 124751 192797 669119 1034093 2120767 7360309 11375023 125125253