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1080116825 = 52971572837
BaseRepresentation
bin100000001100001…
…0100011001011001
32210021102121201212
41000120110121121
54203002214300
6255102352505
735523561434
oct10030243131
92707377655
101080116825
11504774837
1226188b735
13142a0b7a8
14a364481b
1564c59935
hex40614659

1080116825 has 24 divisors (see below), whose sum is σ = 1362251352. Its totient is φ = 849438720.

The previous prime is 1080116819. The next prime is 1080116827. The reversal of 1080116825 is 5286110801.

It can be written as a sum of positive squares in 12 ways, for example, as 731323849 + 348792976 = 27043^2 + 18676^2 .

It is not a de Polignac number, because 1080116825 - 210 = 1080115801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1080116791 and 1080116800.

It is not an unprimeable number, because it can be changed into a prime (1080116827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379307 + ... + 382143.

It is an arithmetic number, because the mean of its divisors is an integer number (56760473).

Almost surely, 21080116825 is an apocalyptic number.

It is an amenable number.

1080116825 is a deficient number, since it is larger than the sum of its proper divisors (282134527).

1080116825 is a wasteful number, since it uses less digits than its factorization.

1080116825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The square root of 1080116825 is about 32865.1308380174. The cubic root of 1080116825 is about 1026.0225607352.

The spelling of 1080116825 in words is "one billion, eighty million, one hundred sixteen thousand, eight hundred twenty-five".

Divisors: 1 5 25 97 157 485 785 2425 2837 3925 14185 15229 70925 76145 275189 380725 445409 1375945 2227045 6879725 11135225 43204673 216023365 1080116825