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625600320601 = 372213772
BaseRepresentation
bin10010001101010001010…
…11110101010001011001
32012210210011101002100111
421012220223311101121
540222212140224401
61155221414004321
763124646662144
oct11065053652131
92183704332314
10625600320601
11221352087353
12a12b43466a1
1346cbc6724c9
14223ca25905b
15114175c2e51
hex91a8af5459

625600320601 has 9 divisors (see below), whose sum is σ = 642995492349. Its totient is φ = 608663729664.

The previous prime is 625600320589. The next prime is 625600320613. The reversal of 625600320601 is 106023006526.

The square root of 625600320601 is 790949.

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

It is an interprime number because it is at equal distance from previous prime (625600320589) and next prime (625600320613).

It can be written as a sum of positive squares in 4 ways, for example, as 2921510601 + 622678810000 = 54051^2 + 789100^2 .

It is not a de Polignac number, because 625600320601 - 219 = 625599796313 is a prime.

It is a super-2 number, since 2×6256003206012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (625600327601) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 29254425 + ... + 29275801.

Almost surely, 2625600320601 is an apocalyptic number.

625600320601 is the 790949-th square number.

625600320601 is the 395475-th centered octagonal number.

It is an amenable number.

625600320601 is a deficient number, since it is larger than the sum of its proper divisors (17395171748).

625600320601 is an frugal number, since it uses more digits than its factorization.

625600320601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42828 (or 21414 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 625600320601 in words is "six hundred twenty-five billion, six hundred million, three hundred twenty thousand, six hundred one".

Divisors: 1 37 1369 21377 790949 29265113 456976129 16908116773 625600320601