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13001625 = 3253713127
BaseRepresentation
bin110001100110…
…001110011001
3220110112212200
4301212032121
511312023000
61142400413
7215340420
oct61461631
926415780
1013001625
11738034a
124430109
132902b90
141a262b7
15121c500
hexc66399

13001625 has 96 divisors (see below), whose sum is σ = 29073408. Its totient is φ = 5443200.

The previous prime is 13001621. The next prime is 13001627. The reversal of 13001625 is 52610031.

13001625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13001625 - 22 = 13001621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13001598 and 13001607.

It is not an unprimeable number, because it can be changed into a prime (13001621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102312 + ... + 102438.

It is an arithmetic number, because the mean of its divisors is an integer number (302848).

Almost surely, 213001625 is an apocalyptic number.

13001625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13001625 is an abundant number, since it is smaller than the sum of its proper divisors (16071783).

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

13001625 is a wasteful number, since it uses less digits than its factorization.

13001625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13001625 is about 3605.7766153771. The cubic root of 13001625 is about 235.1432655918.

Adding to 13001625 its reverse (52610031), we get a palindrome (65611656).

The spelling of 13001625 in words is "thirteen million, one thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 125 127 175 195 225 273 315 325 375 381 455 525 585 635 819 875 889 975 1125 1143 1365 1575 1625 1651 1905 2275 2625 2667 2925 3175 4095 4445 4875 4953 5715 6825 7875 8001 8255 9525 11375 11557 13335 14625 14859 15875 20475 22225 24765 28575 34125 34671 40005 41275 47625 57785 66675 74295 102375 104013 111125 123825 142875 173355 200025 206375 288925 333375 371475 520065 619125 866775 1000125 1444625 1857375 2600325 4333875 13001625