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25165066225 = 5213378212549
BaseRepresentation
bin10111011011111101…
…000110111111110001
32101221210111211002211
4113123331012333301
5403014224104400
615321034412121
71550420351005
oct273375067761
971853454084
1025165066225
11a7440297a2
124a63891041
1324b07abc40
14130a274705
159c442adba
hex5dbf46ff1

25165066225 has 48 divisors (see below), whose sum is σ = 34568881200. Its totient is φ = 18052070400.

The previous prime is 25165066183. The next prime is 25165066231. The reversal of 25165066225 is 52266056152.

It can be written as a sum of positive squares in 24 ways, for example, as 11924421601 + 13240644624 = 109199^2 + 115068^2 .

It is a de Polignac number, because none of the positive numbers 2k-25165066225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9871251 + ... + 9873799.

It is an arithmetic number, because the mean of its divisors is an integer number (720185025).

Almost surely, 225165066225 is an apocalyptic number.

25165066225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25165066225 is a deficient number, since it is larger than the sum of its proper divisors (9403814975).

25165066225 is a wasteful number, since it uses less digits than its factorization.

25165066225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 25165066225 in words is "twenty-five billion, one hundred sixty-five million, sixty-six thousand, two hundred twenty-five".

Divisors: 1 5 13 25 37 65 185 325 481 821 925 2405 2549 4105 10673 12025 12745 20525 30377 33137 53365 63725 94313 151885 165685 266825 394901 471565 759425 828425 1226069 1974505 2092729 2357825 6130345 9872525 10463645 27205477 30651725 52318225 77430973 136027385 387154865 680136925 1006602649 1935774325 5033013245 25165066225