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6381613225 = 5213212292
BaseRepresentation
bin1011111000101111…
…11011000010101001
3121110202010112121101
411330113323002221
5101032143110400
62533124041401
7314066550241
oct57427730251
917422115541
106381613225
112785288519
1212a1233261
137a9170300
14447788b21
152753b856a
hex17c5fb0a9

6381613225 has 27 divisors (see below), whose sum is σ = 8575709583. Its totient is φ = 4708741440.

The previous prime is 6381613171. The next prime is 6381613247. The reversal of 6381613225 is 5223161836.

The square root of 6381613225 is 79885.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2316785689 + 4064827536 = 48133^2 + 63756^2 .

It is not a de Polignac number, because 6381613225 - 211 = 6381611177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 5191911 + ... + 5193139.

Almost surely, 26381613225 is an apocalyptic number.

6381613225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6381613225 is the 79885-th square number.

6381613225 is the 39943-rd centered octagonal number.

It is an amenable number.

6381613225 is a deficient number, since it is larger than the sum of its proper divisors (2194096358).

6381613225 is an equidigital number, since it uses as much as digits as its factorization.

6381613225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 1247 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The cubic root of 6381613225 is about 1854.8558311682.

The spelling of 6381613225 in words is "six billion, three hundred eighty-one million, six hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 1229 4225 6145 15977 30725 79885 207701 399425 1038505 1510441 5192525 7552205 19635733 37761025 98178665 255264529 490893325 1276322645 6381613225