225315301021400 has 96 divisors (see below), whose sum is σ = 527349415706400. Its totient is φ = 89525509632000.

The previous prime is 225315301021309. The next prime is 225315301021409. The reversal of 225315301021400 is 4120103513522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225315301021409) 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, 786657416 + ... + 786943784.

It is an arithmetic number, because the mean of its divisors is an integer number (5493223080275).

Almost surely, 2^{225315301021400} is an apocalyptic number.

225315301021400 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 225315301021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263674707853200).

225315301021400 is an abundant number, since it is smaller than the sum of its proper divisors (302034114685000).

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

225315301021400 is a wasteful number, since it uses less digits than its factorization.

225315301021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312589 (or 312580 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 225315301021400 its reverse (4120103513522), we get a palindrome (229435404534922).

The spelling of 225315301021400 in words is "two hundred twenty-five trillion, three hundred fifteen billion, three hundred one million, twenty-one thousand, four hundred".