251133132432 has 480 divisors, whose sum is σ = 838345092480. Its totient is φ = 64168796160.

The previous prime is 251133132407. The next prime is 251133132449. The reversal of 251133132432 is 234231331152.

It is a super-3 number, since 3×251133132432³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 251133132432.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204338794 + ... + 204340022.

It is an arithmetic number, because the mean of its divisors is an integer number (1746552276).

Almost surely, 2^251133132432 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 251133132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419172546240).

251133132432 is an abundant number, since it is smaller than the sum of its proper divisors (587211960048).

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

251133132432 is a wasteful number, since it uses less digits than its factorization.

251133132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1458 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

Adding to 251133132432 its reverse (234231331152), we get a palindrome (485364463584).

The spelling of 251133132432 in words is "two hundred fifty-one billion, one hundred thirty-three million, one hundred thirty-two thousand, four hundred thirty-two".