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6131125441 = 72373381757
BaseRepresentation
bin1011011010111000…
…11000110011000001
3120211021210102222001
411231130120303001
5100024032003231
62452215144001
7304635464200
oct55534306301
916737712861
106131125441
112666951321
121231375001
137692b989c
144223c3237
1525d3d9b61
hex16d718cc1

6131125441 has 12 divisors (see below), whose sum is σ = 7324887828. Its totient is φ = 5113215072.

The previous prime is 6131125381. The next prime is 6131125453. The reversal of 6131125441 is 1445211316.

It can be written as a sum of positive squares in 2 ways, for example, as 3878673841 + 2252451600 = 62279^2 + 47460^2 .

It is not a de Polignac number, because 6131125441 - 219 = 6130601153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6131120441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1689066 + ... + 1692691.

It is an arithmetic number, because the mean of its divisors is an integer number (610407319).

Almost surely, 26131125441 is an apocalyptic number.

It is an amenable number.

6131125441 is a deficient number, since it is larger than the sum of its proper divisors (1193762387).

6131125441 is a wasteful number, since it uses less digits than its factorization.

6131125441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381808 (or 3381801 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 6131125441 is about 78301.5034402278. The cubic root of 6131125441 is about 1830.2625799970.

Adding to 6131125441 its reverse (1445211316), we get a palindrome (7576336757).

The spelling of 6131125441 in words is "six billion, one hundred thirty-one million, one hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 7 37 49 259 1813 3381757 23672299 125125009 165706093 875875063 6131125441