51525121403200 has 84 divisors (see below), whose sum is σ = 126785524302460. Its totient is φ = 20609801072640.

The previous prime is 51525121403167. The next prime is 51525121403209. The reversal of 51525121403200 is 230412152515.

It can be written as a sum of positive squares in 6 ways, for example, as 12076069804096 + 39449051599104 = 3475064^2 + 6280848^2 .

It is a super-2 number, since 2×51525121403200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51525121403209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194057734 + ... + 194323066.

Almost surely, 2^{51525121403200} is an apocalyptic number.

51525121403200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51525121403200 is an abundant number, since it is smaller than the sum of its proper divisors (75260402899260).

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

51525121403200 is a wasteful number, since it uses less digits than its factorization.

51525121403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386724 (or 386709 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 51525121403200 its reverse (230412152515), we get a palindrome (51755533555715).

The spelling of 51525121403200 in words is "fifty-one trillion, five hundred twenty-five billion, one hundred twenty-one million, four hundred three thousand, two hundred".