251060232540 has 192 divisors, whose sum is σ = 766721894400. Its totient is φ = 61012500480.

The previous prime is 251060232529. The next prime is 251060232547. The reversal of 251060232540 is 45232060152.

251060232540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 251060232498 and 251060232507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251060232547) 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 63 ways as a sum of consecutive naturals, for example, 32605611 + ... + 32613309.

It is an arithmetic number, because the mean of its divisors is an integer number (3993343200).

Almost surely, 2^251060232540 is an apocalyptic number.

251060232540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251060232540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383360947200).

251060232540 is an abundant number, since it is smaller than the sum of its proper divisors (515661661860).

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

251060232540 is a wasteful number, since it uses less digits than its factorization.

251060232540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 251060232540 its reverse (45232060152), we get a palindrome (296292292692).

The spelling of 251060232540 in words is "two hundred fifty-one billion, sixty million, two hundred thirty-two thousand, five hundred forty".