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57835508053 = 1753313205081
BaseRepresentation
bin110101110111010000…
…111101000101010101
312112021122201012222211
4311313100331011111
51421421342224203
642322543353421
74115134464361
oct656720750525
9175248635884
1057835508053
1122589700244
12b260bb2871
1355b91ab91b
142b2921a2a1
1517876ebc6d
hexd7743d155

57835508053 has 16 divisors (see below), whose sum is σ = 62592667056. Its totient is φ = 53235486720.

The previous prime is 57835508051. The next prime is 57835508119. The reversal of 57835508053 is 35080553875.

It can be written as a sum of positive squares in 8 ways, for example, as 768509284 + 57066998769 = 27722^2 + 238887^2 .

It is a cyclic number.

It is not a de Polignac number, because 57835508053 - 21 = 57835508051 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57835507988 and 57835508006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57835508051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179473 + ... + 384553.

It is an arithmetic number, because the mean of its divisors is an integer number (3912041691).

Almost surely, 257835508053 is an apocalyptic number.

57835508053 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

57835508053 is a deficient number, since it is larger than the sum of its proper divisors (4757159003).

57835508053 is a wasteful number, since it uses less digits than its factorization.

57835508053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205464.

The product of its (nonzero) digits is 2520000, while the sum is 49.

The spelling of 57835508053 in words is "fifty-seven billion, eight hundred thirty-five million, five hundred eight thousand, fifty-three".

Divisors: 1 17 53 313 901 5321 16589 205081 282013 3486377 10869293 64190353 184777981 1091236001 3402088709 57835508053