51413200899250 has 64 divisors (see below), whose sum is σ = 104661256703328. Its totient is φ = 18832434739200.

The previous prime is 51413200899241. The next prime is 51413200899271. The reversal of 51413200899250 is 5299800231415.

It can be written as a sum of positive squares in 16 ways, for example, as 411793007521 + 51001407891729 = 641711^2 + 7141527^2 .

It is a super-6 number, since 6×51413200899250⁶ (a number of 84 digits) contains 666666 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51413200899194 and 51413200899203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163318747 + ... + 163633246.

Almost surely, 2^{51413200899250} is an apocalyptic number.

51413200899250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51413200899250 is an abundant number, since it is smaller than the sum of its proper divisors (53248055804078).

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

51413200899250 is a wasteful number, since it uses less digits than its factorization.

51413200899250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326952064 (or 326952054 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 51413200899250 in words is "fifty-one trillion, four hundred thirteen billion, two hundred million, eight hundred ninety-nine thousand, two hundred fifty".