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57018276225 = 3252159192
BaseRepresentation
bin110101000110100011…
…011101100110000001
312110011200221112200100
4311012203131212001
51413233134314400
642105511313013
74055652231321
oct650643354601
9173150845610
1057018276225
11221aa36a939
12b07337b769
1354b8aa45b1
142a8c887281
15173aabe100
hexd468dd981

57018276225 has 27 divisors (see below), whose sum is σ = 102132483843. Its totient is φ = 30407837040.

The previous prime is 57018276121. The next prime is 57018276269. The reversal of 57018276225 is 52267281075.

The square root of 57018276225 is 238785.

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

57018276225 is a `hidden beast` number, since 5 + 7 + 0 + 18 + 2 + 7 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20526579441 + 36491696784 = 143271^2 + 191028^2 .

It is not a de Polignac number, because 57018276225 - 219 = 57017751937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3573816 + ... + 3589734.

Almost surely, 257018276225 is an apocalyptic number.

57018276225 is the 238785-th square number.

57018276225 is the 119393-rd centered octagonal number.

It is an amenable number.

57018276225 is a deficient number, since it is larger than the sum of its proper divisors (45114207618).

57018276225 is an frugal number, since it uses more digits than its factorization.

57018276225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31854 (or 15927 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 57018276225 in words is "fifty-seven billion, eighteen million, two hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 15919 47757 79595 143271 238785 397975 716355 1193925 3581775 253414561 760243683 1267072805 2280731049 3801218415 6335364025 11403655245 19006092075 57018276225