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125116425 = 325271937113
BaseRepresentation
bin1110111010100…
…10000000001001
322201102120110200
413131102000021
5224012211200
620225402413
73046320630
oct735220011
9281376420
10125116425
1164696905
1235a99409
131cbc89b5
141288c517
15aeb6800
hex7752009

125116425 has 144 divisors (see below), whose sum is σ = 279327360. Its totient is φ = 52254720.

The previous prime is 125116421. The next prime is 125116427. The reversal of 125116425 is 524611521.

125116425 is a `hidden beast` number, since 1 + 2 + 5 + 11 + 642 + 5 = 666.

It is not a de Polignac number, because 125116425 - 22 = 125116421 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125116421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1107169 + ... + 1107281.

Almost surely, 2125116425 is an apocalyptic number.

125116425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125116425 is an abundant number, since it is smaller than the sum of its proper divisors (154210935).

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

125116425 is a wasteful number, since it uses less digits than its factorization.

125116425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 125116425 is about 11185.5453599724. The cubic root of 125116425 is about 500.1551851635.

Adding to 125116425 its reverse (524611521), we get a palindrome (649727946).

The spelling of 125116425 in words is "one hundred twenty-five million, one hundred sixteen thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 37 45 57 63 75 95 105 111 113 133 171 175 185 225 259 285 315 333 339 399 475 525 555 565 665 703 777 791 855 925 1017 1197 1295 1425 1575 1665 1695 1995 2109 2147 2331 2373 2775 2825 3325 3515 3885 3955 4181 4275 4921 5085 5985 6327 6441 6475 7119 8325 8475 9975 10545 10735 11655 11865 12543 14763 15029 17575 19323 19425 19775 20905 24605 25425 29267 29925 31635 32205 35595 37629 44289 45087 52725 53675 58275 59325 62715 73815 75145 79439 87801 96615 104525 123025 135261 146335 158175 161025 177975 188145 221445 225435 238317 263403 313575 369075 375725 397195 439005 483075 556073 676305 714951 731675 940725 1107225 1127175 1191585 1317015 1668219 1985975 2195025 2780365 3381525 3574755 5004657 5957925 6585075 8341095 13901825 17873775 25023285 41705475 125116425