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457125125 = 5315723293
BaseRepresentation
bin11011001111110…
…010110100000101
31011212011100210012
4123033302310011
51414011001000
6113205440005
714220333212
oct3317626405
91155140705
10457125125
11215042966
12109110005
1373922b52
14449d4b09
152a1e9735
hex1b3f2d05

457125125 has 16 divisors (see below), whose sum is σ = 574150512. Its totient is φ = 363355200.

The previous prime is 457125107. The next prime is 457125127. The reversal of 457125125 is 521521754.

It can be written as a sum of positive squares in 8 ways, for example, as 330585124 + 126540001 = 18182^2 + 11249^2 .

It is not a de Polignac number, because 457125125 - 26 = 457125061 is a prime.

It is a super-3 number, since 3×4571251253 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 457125091 and 457125100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457125127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7979 + ... + 31271.

It is an arithmetic number, because the mean of its divisors is an integer number (35884407).

Almost surely, 2457125125 is an apocalyptic number.

It is an amenable number.

457125125 is a deficient number, since it is larger than the sum of its proper divisors (117025387).

457125125 is a wasteful number, since it uses less digits than its factorization.

457125125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23465 (or 23455 counting only the distinct ones).

The product of its digits is 14000, while the sum is 32.

The square root of 457125125 is about 21380.4846764520. The cubic root of 457125125 is about 770.3327538023.

Adding to 457125125 its reverse (521521754), we get a palindrome (978646879).

The spelling of 457125125 in words is "four hundred fifty-seven million, one hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 157 785 3925 19625 23293 116465 582325 2911625 3657001 18285005 91425025 457125125