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10630641025 = 5217212132
BaseRepresentation
bin10011110011010001…
…01011010110000001
31000102212102111222101
421321220223112001
5133232421003100
64514511310401
7524302646344
oct117150532601
930385374871
1010630641025
1145657a0a44
12208821b401
131005553a44
1472bc0445b
1542342e86a
hex279a2b581

10630641025 has 27 divisors (see below), whose sum is σ = 14014572411. Its totient is φ = 7997648640.

The previous prime is 10630641019. The next prime is 10630641029. The reversal of 10630641025 is 52014603601.

The square root of 10630641025 is 103105.

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 9332912449 + 1297728576 = 96607^2 + 36024^2 .

It is not a de Polignac number, because 10630641025 - 23 = 10630641017 is a prime.

It is a super-2 number, since 2×106306410252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10630640984 and 10630641002.

It is not an unprimeable number, because it can be changed into a prime (10630641029) 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, 8763319 + ... + 8764531.

Almost surely, 210630641025 is an apocalyptic number.

10630641025 is the 103105-th square number.

10630641025 is the 51553-rd centered octagonal number.

It is an amenable number.

10630641025 is a deficient number, since it is larger than the sum of its proper divisors (3383931386).

10630641025 is an frugal number, since it uses more digits than its factorization.

10630641025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 10630641025 in words is "ten billion, six hundred thirty million, six hundred forty-one thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1213 1445 6065 7225 20621 30325 103105 350557 515525 1471369 1752785 7356845 8763925 25013273 36784225 125066365 425225641 625331825 2126128205 10630641025