225131506380 has 192 divisors, whose sum is σ = 764789276160. Its totient is φ = 54526867200.

The previous prime is 225131506307. The next prime is 225131506387. The reversal of 225131506380 is 83605131522.

225131506380 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 3 + 15 + 0 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225131506387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6618015 + ... + 6651945.

It is an arithmetic number, because the mean of its divisors is an integer number (3983277480).

Almost surely, 2^225131506380 is an apocalyptic number.

225131506380 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 225131506380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382394638080).

225131506380 is an abundant number, since it is smaller than the sum of its proper divisors (539657769780).

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

225131506380 is a wasteful number, since it uses less digits than its factorization.

225131506380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35077 (or 35069 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 225131506380 in words is "two hundred twenty-five billion, one hundred thirty-one million, five hundred six thousand, three hundred eighty".