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6410404225 = 526722392
BaseRepresentation
bin1011111100001011…
…10000000110000001
3121112202022021102201
411332011300012001
5101112030413400
62540033113201
7314566352101
oct57605600601
917482267381
106410404225
11279a562635
1212aa9b8801
137b2110bc4
1444b521201
15277ba406a
hex17e170181

6410404225 has 27 divisors (see below), whose sum is σ = 8103216387. Its totient is φ = 5030644080.

The previous prime is 6410404211. The next prime is 6410404229. The reversal of 6410404225 is 5224040146.

The square root of 6410404225 is 80065.

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

It can be written as a sum of positive squares in only one way, i.e., 2307745521 + 4102658704 = 48039^2 + 64052^2 .

It is not a de Polignac number, because 6410404225 - 225 = 6376849793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6410404193 and 6410404202.

It is not an unprimeable number, because it can be changed into a prime (6410404229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26821656 + ... + 26821894.

Almost surely, 26410404225 is an apocalyptic number.

6410404225 is the 80065-th square number.

6410404225 is the 40033-rd centered octagonal number.

It is an amenable number.

6410404225 is a deficient number, since it is larger than the sum of its proper divisors (1692812162).

6410404225 is an frugal number, since it uses more digits than its factorization.

6410404225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The cubic root of 6410404225 is about 1857.6410748894.

The spelling of 6410404225 in words is "six billion, four hundred ten million, four hundred four thousand, two hundred twenty-five".

Divisors: 1 5 25 67 239 335 1195 1675 4489 5975 16013 22445 57121 80065 112225 285605 400325 1072871 1428025 3827107 5364355 19135535 26821775 95677675 256416169 1282080845 6410404225