225531513141540 has 384 divisors, whose sum is σ = 662504693760000. Its totient is φ = 57259102279680.

The previous prime is 225531513141527. The next prime is 225531513141541. The reversal of 225531513141540 is 45141315135522.

It is a junction number, because it is equal to n+sod(n) for n = 225531513141492 and 225531513141501.

It is not an unprimeable number, because it can be changed into a prime (225531513141541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75202236961 + ... + 75202239959.

It is an arithmetic number, because the mean of its divisors is an integer number (1725272640000).

Almost surely, 2^{225531513141540} is an apocalyptic number.

225531513141540 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 225531513141540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331252346880000).

225531513141540 is an abundant number, since it is smaller than the sum of its proper divisors (436973180618460).

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

225531513141540 is a wasteful number, since it uses less digits than its factorization.

225531513141540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 225531513141540 in words is "two hundred twenty-five trillion, five hundred thirty-one billion, five hundred thirteen million, one hundred forty-one thousand, five hundred forty".