51200325 has 72 divisors (see below), whose sum is σ = 101439936. Its totient is φ = 24480000.

The previous prime is 51200309. The next prime is 51200329. The reversal of 51200325 is 52300215.

It is a happy number.

It is not a de Polignac number, because 51200325 - 2⁴ = 51200309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51200298 and 51200307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51200329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 339000 + ... + 339150.

It is an arithmetic number, because the mean of its divisors is an integer number (1408888).

Almost surely, 2^51200325 is an apocalyptic number.

51200325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51200325 is a deficient number, since it is larger than the sum of its proper divisors (50239611).

51200325 is a wasteful number, since it uses less digits than its factorization.

51200325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 51200325 is about 7155.4402380287. The cubic root of 51200325 is about 371.3278923730.

The spelling of 51200325 in words is "fifty-one million, two hundred thousand, three hundred twenty-five".