225273180701520 has 480 divisors, whose sum is σ = 881053597532160. Its totient is φ = 50516673269760.

The previous prime is 225273180701497. The next prime is 225273180701533. The reversal of 225273180701520 is 25107081372522.

It is a happy number.

225273180701520 is a `hidden beast` number, since 2 + 2 + 5 + 27 + 31 + 8 + 0 + 70 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118652337 + ... + 120535983.

It is an arithmetic number, because the mean of its divisors is an integer number (1835528328192).

Almost surely, 2^{225273180701520} is an apocalyptic number.

225273180701520 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 225273180701520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440526798766080).

225273180701520 is an abundant number, since it is smaller than the sum of its proper divisors (655780416830640).

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

225273180701520 is a wasteful number, since it uses less digits than its factorization.

225273180701520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884123 (or 1884114 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 225273180701520 in words is "two hundred twenty-five trillion, two hundred seventy-three billion, one hundred eighty million, seven hundred one thousand, five hundred twenty".