251413404540 has 96 divisors (see below), whose sum is σ = 706929914880. Its totient is φ = 66760761600.

The previous prime is 251413404527. The next prime is 251413404559. The reversal of 251413404540 is 45404314152.

It is a happy number.

251413404540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×251413404540² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47785510 + ... + 47790770.

It is an arithmetic number, because the mean of its divisors is an integer number (7363853280).

Almost surely, 2^251413404540 is an apocalyptic number.

251413404540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251413404540 is an abundant number, since it is smaller than the sum of its proper divisors (455516510340).

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

251413404540 is a wasteful number, since it uses less digits than its factorization.

251413404540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8481 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 251413404540 its reverse (45404314152), we get a palindrome (296817718692).

The spelling of 251413404540 in words is "two hundred fifty-one billion, four hundred thirteen million, four hundred four thousand, five hundred forty".