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251328425 = 52177692
BaseRepresentation
bin11101111101011…
…11011110101001
3122111220210210012
432332233132221
51003320002200
640534501305
76141153635
oct1676573651
9574823705
10251328425
11119960847
1270204835
13400b925a
1425543dc5
15170e7a35
hexefaf7a9

251328425 has 18 divisors (see below), whose sum is σ = 330409098. Its totient is φ = 188989440.

The previous prime is 251328419. The next prime is 251328431. The reversal of 251328425 is 524823152.

It is an interprime number because it is at equal distance from previous prime (251328419) and next prime (251328431).

It can be written as a sum of positive squares in 9 ways, for example, as 57032704 + 194295721 = 7552^2 + 13939^2 .

It is not a de Polignac number, because 251328425 - 212 = 251324329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 251328391 and 251328400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 326441 + ... + 327209.

It is an arithmetic number, because the mean of its divisors is an integer number (18356061).

Almost surely, 2251328425 is an apocalyptic number.

251328425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251328425 is a deficient number, since it is larger than the sum of its proper divisors (79080673).

251328425 is an frugal number, since it uses more digits than its factorization.

251328425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 791 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 251328425 is about 15853.3411304999. The cubic root of 251328425 is about 631.0743614869.

The spelling of 251328425 in words is "two hundred fifty-one million, three hundred twenty-eight thousand, four hundred twenty-five".

Divisors: 1 5 17 25 85 425 769 3845 13073 19225 65365 326825 591361 2956805 10053137 14784025 50265685 251328425