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1057225225 = 52729292
BaseRepresentation
bin111111000000111…
…111101000001001
32201200100121100211
4333000333220021
54131122201400
6252524001121
735125160200
oct7700775011
92650317324
101057225225
114a2859a61
122560901a1
1313b055174
14a05a6237
1562c36dba
hex3f03fa09

1057225225 has 27 divisors (see below), whose sum is σ = 1526636757. Its totient is φ = 724174080.

The previous prime is 1057225217. The next prime is 1057225297. The reversal of 1057225225 is 5225227501.

The square root of 1057225225 is 32515.

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

It can be written as a sum of positive squares in 4 ways, for example, as 531348601 + 525876624 = 23051^2 + 22932^2 .

It is not a de Polignac number, because 1057225225 - 23 = 1057225217 is a prime.

It is a super-2 number, since 2×10572252252 = 2235450352752601250, which 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, 1137561 + ... + 1138489.

Almost surely, 21057225225 is an apocalyptic number.

1057225225 is the 32515-th square number.

1057225225 is the 16258-th centered octagonal number.

It is an amenable number.

1057225225 is a deficient number, since it is larger than the sum of its proper divisors (469411532).

1057225225 is an frugal number, since it uses more digits than its factorization.

1057225225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 31.

The cubic root of 1057225225 is about 1018.7223606488.

The spelling of 1057225225 in words is "one billion, fifty-seven million, two hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 929 1225 4645 6503 23225 32515 45521 162575 227605 863041 1138025 4315205 6041287 21576025 30206435 42289009 151032175 211445045 1057225225