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1625541125 = 53131000333
BaseRepresentation
bin110000011100011…
…1100101000000101
311012021202001012212
41200320330220011
511312114304000
6425144553205
755165604645
oct14070745005
94167661185
101625541125
1176463711a
12394482805
131cba09370
14115c62525
1597a96c35
hex60e3ca05

1625541125 has 16 divisors (see below), whose sum is σ = 2184729456. Its totient is φ = 1200398400.

The previous prime is 1625541119. The next prime is 1625541131. The reversal of 1625541125 is 5211455261.

It is a Cunningham number, because it is equal to 403182+1.

It is an interprime number because it is at equal distance from previous prime (1625541119) and next prime (1625541131).

It can be written as a sum of positive squares in 8 ways, for example, as 863008129 + 762532996 = 29377^2 + 27614^2 .

It is not a de Polignac number, because 1625541125 - 26 = 1625541061 is a prime.

1625541125 is a modest number, since divided by 541125 gives 1625 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1625541091 and 1625541100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 498542 + ... + 501791.

It is an arithmetic number, because the mean of its divisors is an integer number (136545591).

Almost surely, 21625541125 is an apocalyptic number.

It is an amenable number.

1625541125 is a deficient number, since it is larger than the sum of its proper divisors (559188331).

1625541125 is a wasteful number, since it uses less digits than its factorization.

1625541125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000361 (or 1000351 counting only the distinct ones).

The product of its digits is 12000, while the sum is 32.

The square root of 1625541125 is about 40318.0000124014. Note that the first 4 decimals coincide. The cubic root of 1625541125 is about 1175.7978284528.

Adding to 1625541125 its reverse (5211455261), we get a palindrome (6836996386).

It can be divided in two parts, 162554 and 1125, that multiplied together give a triangular number (182873250 = T19124).

The spelling of 1625541125 in words is "one billion, six hundred twenty-five million, five hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 1000333 5001665 13004329 25008325 65021645 125041625 325108225 1625541125