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680567251225 = 52139211872
BaseRepresentation
bin10011110011101001111…
…10000010000100011001
32102001122220100110212211
421321310332002010121
542122300204014400
61240352010035121
7100112043121201
oct11716476020431
92361586313784
10680567251225
1124269951a944
12aba94718aa1
134c23c462a24
1424d224bd401
1512a8303adba
hex9e74f82119

680567251225 has 27 divisors (see below), whose sum is σ = 850735026687. Its totient is φ = 540081486480.

The previous prime is 680567251219. The next prime is 680567251283. The reversal of 680567251225 is 522152765086.

The square root of 680567251225 is 824965.

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., 245004210441 + 435563040784 = 494979^2 + 659972^2 .

It is not a de Polignac number, because 680567251225 - 27 = 680567251097 is a prime.

It is a super-5 number, since 5×6805672512255 (a number of 60 digits) contains 55555 as substring.

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, 573350082 + ... + 573351268.

Almost surely, 2680567251225 is an apocalyptic number.

680567251225 is the 824965-th square number.

680567251225 is the 412483-rd centered octagonal number.

It is an amenable number.

680567251225 is a deficient number, since it is larger than the sum of its proper divisors (170167775462).

680567251225 is an frugal number, since it uses more digits than its factorization.

680567251225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

Multiplying 680567251225 by its sum of digits (49), we get a square (33347795310025 = 57747552).

The spelling of 680567251225 in words is "six hundred eighty billion, five hundred sixty-seven million, two hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 139 695 1187 3475 5935 19321 29675 96605 164993 483025 824965 1408969 4124825 7044845 22934027 35224225 114670135 195846691 573350675 979233455 4896167275 27222690049 136113450245 680567251225