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3257321088025 = 5217412492
BaseRepresentation
bin101111011001100111011…
…101110110010000011001
3102112101201022021221022201
4233121213131312100121
5411331443144304100
610532220451250201
7454222311262564
oct57314735662031
912471638257281
103257321088025
1110464709217a4
1244735a2a9961
131a8219597234
14b3925b674db
1559ae514e36a
hex2f667776419

3257321088025 has 45 divisors (see below), whose sum is σ = 4294956224721. Its totient is φ = 2450607544320.

The previous prime is 3257321088011. The next prime is 3257321088067. The reversal of 3257321088025 is 5208801237523.

The square root of 3257321088025 is 1804805.

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

It can be written as a sum of positive squares in 22 ways, for example, as 2858003256969 + 399317831056 = 1690563^2 + 631916^2 .

It is not a de Polignac number, because 3257321088025 - 215 = 3257321055257 is a prime.

It is a super-2 number, since 2×32573210880252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2607942601 + ... + 2607943849.

Almost surely, 23257321088025 is an apocalyptic number.

3257321088025 is the 1804805-th square number.

3257321088025 is the 902403-rd centered octagonal number.

It is an amenable number.

3257321088025 is a deficient number, since it is larger than the sum of its proper divisors (1037635136696).

3257321088025 is an frugal number, since it uses more digits than its factorization.

3257321088025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 3257321088025 in words is "three trillion, two hundred fifty-seven billion, three hundred twenty-one million, eighty-eight thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1249 1445 4913 6245 7225 21233 24565 31225 83521 106165 122825 360961 417605 530825 1560001 1804805 2088025 6136337 7800005 9024025 26520017 30681685 39000025 104317729 132600085 153408425 450840289 521588645 663000425 2254201445 2607943225 7664284913 11271007225 38321424565 130292843521 191607122825 651464217605 3257321088025