51351300 has 576 divisors, whose sum is σ = 233318400. Its totient is φ = 9331200.

The previous prime is 51351253. The next prime is 51351359. The reversal of 51351300 is 315315.

It is a happy number.

It is a super-3 number, since 3×51351300³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2702691 + ... + 2702709.

Almost surely, 2^51351300 is an apocalyptic number.

51351300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51351300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

51351300 is an abundant number, since it is smaller than the sum of its proper divisors (181967100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51351300 is a wasteful number, since it uses less digits than its factorization.

51351300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 51351300 is about 7165.9821378510. The cubic root of 51351300 is about 371.6925138595.

Adding to 51351300 its reverse (315315), we get a palindrome (51666615).

It can be divided in two parts, 513 and 51300, that multiplied together give a square (26316900 = 5130²).

The spelling of 51351300 in words is "fifty-one million, three hundred fifty-one thousand, three hundred".