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5211771125 = 531173137379
BaseRepresentation
bin1001101101010010…
…10101000011110101
3111110012212101221012
410312221111003311
541133203134000
62221054202005
7243103216001
oct46651250365
914405771835
105211771125
1122349aa870
1210154b3305
136509a7952
14376269701
15207838735
hex136a550f5

5211771125 has 64 divisors (see below), whose sum is σ = 7264408320. Its totient is φ = 3701376000.

The previous prime is 5211771121. The next prime is 5211771151.

5211771125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5211771125 - 22 = 5211771121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5211771091 and 5211771100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5211771121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13751186 + ... + 13751564.

It is an arithmetic number, because the mean of its divisors is an integer number (113506380).

Almost surely, 25211771125 is an apocalyptic number.

5211771125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5211771125 is a deficient number, since it is larger than the sum of its proper divisors (2052637195).

5211771125 is a wasteful number, since it uses less digits than its factorization.

5211771125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

The product of its digits is 4900, while the sum is 32.

The square root of 5211771125 is about 72192.5974390727. The cubic root of 5211771125 is about 1733.7844830541.

The spelling of 5211771125 in words is "five billion, two hundred eleven million, seven hundred seventy-one thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 73 125 137 275 365 379 685 803 1375 1507 1825 1895 3425 4015 4169 7535 9125 9475 10001 17125 20075 20845 27667 37675 47375 50005 51923 100375 104225 110011 138335 188375 250025 259615 304337 521125 550055 571153 691675 1250125 1298075 1521685 2750275 2855765 3458375 3790379 6490375 7608425 13751375 14278825 18951895 38042125 41694169 71394125 94759475 208470845 473797375 1042354225 5211771125