305415135252 has 288 divisors, whose sum is σ = 875456467200. Its totient is φ = 91794269952.

The previous prime is 305415135241. The next prime is 305415135287. The reversal of 305415135252 is 252531514503.

305415135252 is a `hidden beast` number, since 3 + 0 + 5 + 41 + 513 + 52 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133193418 + ... + 133195710.

It is an arithmetic number, because the mean of its divisors is an integer number (3039779400).

Almost surely, 2^305415135252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305415135252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437728233600).

305415135252 is an abundant number, since it is smaller than the sum of its proper divisors (570041331948).

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

305415135252 is a wasteful number, since it uses less digits than its factorization.

305415135252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 305415135252 its reverse (252531514503), we get a palindrome (557946649755).

The spelling of 305415135252 in words is "three hundred five billion, four hundred fifteen million, one hundred thirty-five thousand, two hundred fifty-two".