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5121600125 = 533721732
BaseRepresentation
bin1001100010100010…
…10110101001111101
3111012221012020120112
410301101112221331
540442112201000
62204113355405
7240626611535
oct46121265175
914187166515
105121600125
112199011a84
12bab268b65
136380c5c25
143682b64c5
151ee976235
hex131456a7d

5121600125 has 36 divisors (see below), whose sum is σ = 6607367676. Its totient is φ = 3963499200.

The previous prime is 5121600109. The next prime is 5121600137. The reversal of 5121600125 is 5210061215.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 992124004 + 4129476121 = 31498^2 + 64261^2 .

It is not a de Polignac number, because 5121600125 - 24 = 5121600109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5121600125.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 29604539 + ... + 29604711.

It is an arithmetic number, because the mean of its divisors is an integer number (183537991).

Almost surely, 25121600125 is an apocalyptic number.

It is an amenable number.

5121600125 is a deficient number, since it is larger than the sum of its proper divisors (1485767551).

5121600125 is an frugal number, since it uses more digits than its factorization.

5121600125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 5121600125 is about 71565.3556198808. The cubic root of 5121600125 is about 1723.7272835746.

The spelling of 5121600125 in words is "five billion, one hundred twenty-one million, six hundred thousand, one hundred twenty-five".

Divisors: 1 5 25 37 125 173 185 865 925 1369 4325 4625 6401 6845 21625 29929 32005 34225 149645 160025 171125 236837 748225 800125 1107373 1184185 3741125 5536865 5920925 27684325 29604625 40972801 138421625 204864005 1024320025 5121600125