251231545253200 has 120 divisors (see below), whose sum is σ = 619960111801272. Its totient is φ = 97766625116160.

The previous prime is 251231545253123. The next prime is 251231545253203. The reversal of 251231545253200 is 2352545132152.

251231545253200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 113093270859024 + 138138274394176 = 10634532^2 + 11753224^2 .

It is a super-2 number, since 2×251231545253200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251231545253203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145022532 + ... + 146744668.

Almost surely, 2^{251231545253200} is an apocalyptic number.

251231545253200 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 251231545253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309980055900636).

251231545253200 is an abundant number, since it is smaller than the sum of its proper divisors (368728566548072).

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

251231545253200 is a wasteful number, since it uses less digits than its factorization.

251231545253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732049 (or 1732038 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 251231545253200 in words is "two hundred fifty-one trillion, two hundred thirty-one billion, five hundred forty-five million, two hundred fifty-three thousand, two hundred".