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51208000313 = 972084925321
BaseRepresentation
bin101111101100001111…
…000001001100111001
311220011202212221112012
4233230033001030321
51314333222002223
635305153055305
73461660551361
oct575417011471
9156152787465
1051208000313
111a798643618
129b11557535
134aa1105802
14269ad439a1
1514ea960c78
hexbec3c1339

51208000313 has 8 divisors (see below), whose sum is σ = 51740442600. Its totient is φ = 50675650560.

The previous prime is 51208000307. The next prime is 51208000339. The reversal of 51208000313 is 31300080215.

51208000313 = 1600122 + 1600132.

It can be written as a sum of positive squares in 4 ways, for example, as 25604160169 + 25603840144 = 160013^2 + 160012^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51208000313 - 28 = 51208000057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51208000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2009693 + ... + 2035013.

It is an arithmetic number, because the mean of its divisors is an integer number (6467555325).

Almost surely, 251208000313 is an apocalyptic number.

51208000313 is the 160013-rd centered square number.

It is an amenable number.

51208000313 is a deficient number, since it is larger than the sum of its proper divisors (532442287).

51208000313 is a wasteful number, since it uses less digits than its factorization.

51208000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46267.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 51208000313 its reverse (31300080215), we get a palindrome (82508080528).

The spelling of 51208000313 in words is "fifty-one billion, two hundred eight million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 97 20849 25321 2022353 2456137 527917529 51208000313