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125301625 = 536116433
BaseRepresentation
bin1110111011111…
…11001101111001
322201202222111221
413131333031321
5224034123000
620233352041
73051021601
oct735771571
9281688457
10125301625
1164802a69
1235b68621
131cc62097
14128d9c01
15b00161a
hex777f379

125301625 has 16 divisors (see below), whose sum is σ = 158949648. Its totient is φ = 98592000.

The previous prime is 125301623. The next prime is 125301661. The reversal of 125301625 is 526103521.

It can be written as a sum of positive squares in 8 ways, for example, as 36433296 + 88868329 = 6036^2 + 9427^2 .

It is not a de Polignac number, because 125301625 - 21 = 125301623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125301625.

It is not an unprimeable number, because it can be changed into a prime (125301623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592 + ... + 15841.

It is an arithmetic number, because the mean of its divisors is an integer number (9934353).

Almost surely, 2125301625 is an apocalyptic number.

It is an amenable number.

125301625 is a deficient number, since it is larger than the sum of its proper divisors (33648023).

125301625 is an equidigital number, since it uses as much as digits as its factorization.

125301625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16509 (or 16499 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 125301625 is about 11193.8208400885. The cubic root of 125301625 is about 500.4018436236.

The spelling of 125301625 in words is "one hundred twenty-five million, three hundred one thousand, six hundred twenty-five".

Divisors: 1 5 25 61 125 305 1525 7625 16433 82165 410825 1002413 2054125 5012065 25060325 125301625