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263051023225 = 5267215312
BaseRepresentation
bin1111010011111100010…
…0000001001101111001
3221010222110220112021211
43310333010001031321
513302212030220400
6320502144203121
725001435543104
oct3647704011571
9833873815254
10263051023225
11a1617499161
1242b933094a1
131ba61bb6943
14ca35c5d73b
156c98998dba
hex3d3f101379

263051023225 has 27 divisors (see below), whose sum is σ = 331340759631. Its totient is φ = 207164509200.

The previous prime is 263051023199. The next prime is 263051023229. The reversal of 263051023225 is 522320150362.

The square root of 263051023225 is 512885.

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., 94698368361 + 168352654864 = 307731^2 + 410308^2 .

It is not a de Polignac number, because 263051023225 - 29 = 263051022713 is a prime.

It is a super-3 number, since 3×2630510232253 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263051023229) 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, 171815710 + ... + 171817240.

Almost surely, 2263051023225 is an apocalyptic number.

263051023225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263051023225 is the 512885-th square number.

263051023225 is the 256443-rd centered octagonal number.

It is an amenable number.

263051023225 is a deficient number, since it is larger than the sum of its proper divisors (68289736406).

263051023225 is an frugal number, since it uses more digits than its factorization.

263051023225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 263051023225 its reverse (522320150362), we get a palindrome (785371173587).

The spelling of 263051023225 in words is "two hundred sixty-three billion, fifty-one million, twenty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 67 335 1531 1675 4489 7655 22445 38275 102577 112225 512885 2343961 2564425 6872659 11719805 34363295 58599025 157045387 171816475 785226935 3926134675 10522040929 52610204645 263051023225