251400601540 has 96 divisors (see below), whose sum is σ = 602491478400. Its totient is φ = 87274091520.

The previous prime is 251400601537. The next prime is 251400601547. The reversal of 251400601540 is 45106004152.

251400601540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 251400601499 and 251400601508.

It is not an unprimeable number, because it can be changed into a prime (251400601547) 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 31 ways as a sum of consecutive naturals, for example, 346447 + ... + 789193.

It is an arithmetic number, because the mean of its divisors is an integer number (6275952900).

Almost surely, 2^251400601540 is an apocalyptic number.

251400601540 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 251400601540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301245739200).

251400601540 is an abundant number, since it is smaller than the sum of its proper divisors (351090876860).

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

251400601540 is a wasteful number, since it uses less digits than its factorization.

251400601540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442885 (or 442883 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 251400601540 its reverse (45106004152), we get a palindrome (296506605692).

The spelling of 251400601540 in words is "two hundred fifty-one billion, four hundred million, six hundred one thousand, five hundred forty".