51431213250 has 320 divisors, whose sum is σ = 147917319264. Its totient is φ = 13330137600.

The previous prime is 51431213227. The next prime is 51431213257. The reversal of 51431213250 is 5231213415.

51431213250 is a `hidden beast` number, since 51 + 431 + 2 + 132 + 50 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 70509609 + 51360703641 = 8397^2 + 226629^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51431213257) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 185672112 + ... + 185672388.

Almost surely, 2^51431213250 is an apocalyptic number.

51431213250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51431213250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73958659632).

51431213250 is an abundant number, since it is smaller than the sum of its proper divisors (96486106014).

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

51431213250 is a wasteful number, since it uses less digits than its factorization.

51431213250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 51431213250 its reverse (5231213415), we get a palindrome (56662426665).

The spelling of 51431213250 in words is "fifty-one billion, four hundred thirty-one million, two hundred thirteen thousand, two hundred fifty".