251413124040 has 96 divisors (see below), whose sum is σ = 879945950520. Its totient is φ = 61886306304.

The previous prime is 251413123961. The next prime is 251413124041. The reversal of 251413124040 is 40421314152.

251413124040 is a `hidden beast` number, since 2 + 5 + 1 + 413 + 1 + 240 + 4 + 0 = 666.

251413124040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63797666724 + 187615457316 = 252582^2 + 433146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 251413123995 and 251413124013.

It is not an unprimeable number, because it can be changed into a prime (251413124041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26855697 + ... + 26865056.

Almost surely, 2^251413124040 is an apocalyptic number.

251413124040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251413124040 is an abundant number, since it is smaller than the sum of its proper divisors (628532826480).

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

251413124040 is a wasteful number, since it uses less digits than its factorization.

251413124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53720783 (or 53720776 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 251413124040 its reverse (40421314152), we get a palindrome (291834438192).

The spelling of 251413124040 in words is "two hundred fifty-one billion, four hundred thirteen million, one hundred twenty-four thousand, forty".