Search a number
-
+
1925669659225 = 521323725772
BaseRepresentation
bin11100000001011010110…
…110110010001001011001
320211002111020012022021211
4130001122312302021121
5223022232413043400
64032350155503121
7256060614014134
oct34013266621131
96732436168254
101925669659225
11682743358694
1227125aa57aa1
1310c788c36400
14692baad321b
1535157642dba
hex1c05adb2259

1925669659225 has 81 divisors (see below), whose sum is σ = 2662023191877. Its totient is φ = 1381201735680.

The previous prime is 1925669659223. The next prime is 1925669659237. The reversal of 1925669659225 is 5229569665291.

The square root of 1925669659225 is 1387685.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 1266968606409 + 658701052816 = 1125597^2 + 811604^2 .

It is not a de Polignac number, because 1925669659225 - 21 = 1925669659223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1925669659223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3337382137 + ... + 3337382713.

Almost surely, 21925669659225 is an apocalyptic number.

1925669659225 is the 1387685-th square number.

1925669659225 is the 693843-rd centered octagonal number.

It is an amenable number.

1925669659225 is a deficient number, since it is larger than the sum of its proper divisors (736353532652).

1925669659225 is an frugal number, since it uses more digits than its factorization.

1925669659225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 632 counting only the distinct ones).

The product of its digits is 157464000, while the sum is 67.

The spelling of 1925669659225 in words is "one trillion, nine hundred twenty-five billion, six hundred sixty-nine million, six hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 5 13 25 37 65 169 185 325 481 577 845 925 1369 2405 2885 4225 6253 6845 7501 12025 14425 17797 21349 31265 34225 37505 88985 97513 106745 156325 187525 231361 277537 332929 444925 487565 533725 789913 1156805 1387685 1664645 2437825 3607981 3949565 4328077 5784025 6938425 8323225 10268869 12318373 18039905 19747825 21640385 51344345 56265001 61591865 90199525 108201925 133495297 160138849 256721725 281325005 307959325 455779801 667476485 800694245 1406625025 2081805037 2278899005 3337382425 4003471225 5925137413 10409025185 11394495025 29625687065 52045125925 77026786369 148128435325 385133931845 1925669659225