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53460376225 = 5213123532
BaseRepresentation
bin110001110010011111…
…001001101010100001
312002222202010111102021
4301302133021222201
51333441324014400
640320453221441
73601540462114
oct616237115241
9162882114367
1053460376225
1120743a96a13
12a43b931881
13506c944b19
14283213657b
1515cd57671a
hexc727c9aa1

53460376225 has 27 divisors (see below), whose sum is σ = 66990539929. Its totient is φ = 42321593600.

The previous prime is 53460376219. The next prime is 53460376253. The reversal of 53460376225 is 52267306435.

The square root of 53460376225 is 231215.

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

53460376225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2927134609 + 50533241616 = 54103^2 + 224796^2 .

It is not a de Polignac number, because 53460376225 - 225 = 53426821793 is a prime.

It is a super-2 number, since 2×534603762252 (a number of 22 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 26 ways as a sum of consecutive naturals, for example, 151445649 + ... + 151446001.

Almost surely, 253460376225 is an apocalyptic number.

53460376225 is the 231215-th square number.

53460376225 is the 115608-th centered octagonal number.

It is an amenable number.

53460376225 is a deficient number, since it is larger than the sum of its proper divisors (13530163704).

53460376225 is an frugal number, since it uses more digits than its factorization.

53460376225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 53460376225 in words is "fifty-three billion, four hundred sixty million, three hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 5 25 131 353 655 1765 3275 8825 17161 46243 85805 124609 231215 429025 623045 1156075 3115225 6057833 16323779 30289165 81618895 151445825 408094475 2138415049 10692075245 53460376225