251412114536 has 64 divisors (see below), whose sum is σ = 518267808000. Its totient is φ = 113387938560.

The previous prime is 251412114533. The next prime is 251412114553. The reversal of 251412114536 is 635411214152.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 251412114496 and 251412114505.

It is not an unprimeable number, because it can be changed into a prime (251412114533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9921050 + ... + 9946358.

It is an arithmetic number, because the mean of its divisors is an integer number (8097934500).

Almost surely, 2^251412114536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251412114536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259133904000).

251412114536 is an abundant number, since it is smaller than the sum of its proper divisors (266855693464).

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

251412114536 is a wasteful number, since it uses less digits than its factorization.

251412114536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26202 (or 26198 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

Adding to 251412114536 its reverse (635411214152), we get a palindrome (886823328688).

The spelling of 251412114536 in words is "two hundred fifty-one billion, four hundred twelve million, one hundred fourteen thousand, five hundred thirty-six".