253305007530 has 64 divisors (see below), whose sum is σ = 618364696320. Its totient is φ = 66395137536.

The previous prime is 253305007517. The next prime is 253305007541. The reversal of 253305007530 is 35700503352.

253305007530 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×253305007530³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253305007491 and 253305007500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444291 + ... + 839049.

It is an arithmetic number, because the mean of its divisors is an integer number (9661948380).

Almost surely, 2^253305007530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253305007530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309182348160).

253305007530 is an abundant number, since it is smaller than the sum of its proper divisors (365059688790).

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

253305007530 is a wasteful number, since it uses less digits than its factorization.

253305007530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395135.

The product of its (nonzero) digits is 47250, while the sum is 33.

The spelling of 253305007530 in words is "two hundred fifty-three billion, three hundred five million, seven thousand, five hundred thirty".