653031130356 has 144 divisors (see below), whose sum is σ = 1819523579328. Its totient is φ = 195830784000.

The previous prime is 653031130321. The next prime is 653031130403.

653031130356 is a `hidden beast` number, since 6 + 5 + 30 + 311 + 303 + 5 + 6 = 666.

653031130356 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 653031130356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138263811 + ... + 138268533.

It is an arithmetic number, because the mean of its divisors is an integer number (12635580412).

Almost surely, 2^653031130356 is an apocalyptic number.

653031130356 is a gapful number since it is divisible by the number (66) 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 653031130356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909761789664).

653031130356 is an abundant number, since it is smaller than the sum of its proper divisors (1166492448972).

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

653031130356 is a wasteful number, since it uses less digits than its factorization.

653031130356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8302 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

It can be divided in two parts, 653031 and 130356, that added together give a palindrome (783387).

The spelling of 653031130356 in words is "six hundred fifty-three billion, thirty-one million, one hundred thirty thousand, three hundred fifty-six".