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1253879125 = 5337271109
BaseRepresentation
bin100101010111100…
…1010110101010101
310020101101122210121
41022233022311111
510031443113000
6324230551541
743033540162
oct11257126525
93211348717
101253879125
11593866a44
122abb085b1
1316ca0a415
14bc757069
157512eb1a
hex4abcad55

1253879125 has 16 divisors (see below), whose sum is σ = 1607140080. Its totient is φ = 975988800.

The previous prime is 1253879111. The next prime is 1253879131. The reversal of 1253879125 is 5219783521.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 412821124 + 841058001 = 20318^2 + 29001^2 .

It is not a de Polignac number, because 1253879125 - 211 = 1253877077 is a prime.

It is a super-2 number, since 2×12538791252 = 3144425720221531250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 130930 + ... + 140179.

It is an arithmetic number, because the mean of its divisors is an integer number (100446255).

Almost surely, 21253879125 is an apocalyptic number.

It is an amenable number.

1253879125 is a deficient number, since it is larger than the sum of its proper divisors (353260955).

1253879125 is an equidigital number, since it uses as much as digits as its factorization.

1253879125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271161 (or 271151 counting only the distinct ones).

The product of its digits is 151200, while the sum is 43.

The square root of 1253879125 is about 35410.1556760204. The cubic root of 1253879125 is about 1078.3305038491.

The spelling of 1253879125 in words is "one billion, two hundred fifty-three million, eight hundred seventy-nine thousand, one hundred twenty-five".

Divisors: 1 5 25 37 125 185 925 4625 271109 1355545 6777725 10031033 33888625 50155165 250775825 1253879125