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523101325 = 5224738461
BaseRepresentation
bin11111001011011…
…110010010001101
31100110022022010011
4133023132102031
52032403220300
6123523513221
715651200515
oct3713362215
91313268104
10523101325
1124930584a
12127228811
13844b3016
144d68a845
1530dcceba
hex1f2de48d

523101325 has 12 divisors (see below), whose sum is σ = 648984628. Its totient is φ = 418262400.

The previous prime is 523101317. The next prime is 523101343.

523101325 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 15139881 + 507961444 = 3891^2 + 22538^2 .

It is not a de Polignac number, because 523101325 - 23 = 523101317 is a prime.

It is a super-4 number, since 4×5231013254 (a number of 36 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 523101296 and 523101305.

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 11 ways as a sum of consecutive naturals, for example, 57595 + ... + 66055.

Almost surely, 2523101325 is an apocalyptic number.

It is an amenable number.

523101325 is a deficient number, since it is larger than the sum of its proper divisors (125883303).

523101325 is a wasteful number, since it uses less digits than its factorization.

523101325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944 (or 10939 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 523101325 is about 22871.4084612207. The cubic root of 523101325 is about 805.7406477751.

It can be divided in two parts, 52310 and 1325, that added together give a palindrome (53635).

The spelling of 523101325 in words is "five hundred twenty-three million, one hundred one thousand, three hundred twenty-five".

Divisors: 1 5 25 2473 8461 12365 42305 61825 211525 20924053 104620265 523101325