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57965135225 = 526857338137
BaseRepresentation
bin110101111110111111…
…011100010101111001
312112121200121222001012
4311332333130111321
51422203033311400
642343454003305
74121300343224
oct657677342571
9175550558035
1057965135225
1122645898038
12b2984a6535
135609cc67aa
142b3c5205bb
151793ca4d35
hexd7efdc579

57965135225 has 12 divisors (see below), whose sum is σ = 71887462524. Its totient is φ = 46365208320.

The previous prime is 57965135177. The next prime is 57965135237. The reversal of 57965135225 is 52253156975.

It can be written as a sum of positive squares in 6 ways, for example, as 1136296681 + 56828838544 = 33709^2 + 238388^2 .

It is not a de Polignac number, because 57965135225 - 212 = 57965131129 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2357 + ... + 340493.

It is an arithmetic number, because the mean of its divisors is an integer number (5990621877).

Almost surely, 257965135225 is an apocalyptic number.

It is an amenable number.

57965135225 is a deficient number, since it is larger than the sum of its proper divisors (13922327299).

57965135225 is a wasteful number, since it uses less digits than its factorization.

57965135225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345004 (or 344999 counting only the distinct ones).

The product of its digits is 2835000, while the sum is 50.

The spelling of 57965135225 in words is "fifty-seven billion, nine hundred sixty-five million, one hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 6857 34285 171425 338137 1690685 8453425 2318605409 11593027045 57965135225