1053100415300 has 72 divisors (see below), whose sum is σ = 2312809653000. Its totient is φ = 416178155520.

The previous prime is 1053100415281. The next prime is 1053100415329. The reversal of 1053100415300 is 35140013501.

It can be written as a sum of positive squares in 12 ways, for example, as 34619812096 + 1018480603204 = 186064^2 + 1009198^2 .

It is a super-2 number, since 2×1053100415300² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3665684 + ... + 3942516.

Almost surely, 2^{1053100415300} is an apocalyptic number.

1053100415300 is a gapful number since it is divisible by the number (10) 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 1053100415300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156404826500).

1053100415300 is an abundant number, since it is smaller than the sum of its proper divisors (1259709237700).

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

1053100415300 is a wasteful number, since it uses less digits than its factorization.

1053100415300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277305 (or 277298 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 1053100415300 its reverse (35140013501), we get a palindrome (1088240428801).

The spelling of 1053100415300 in words is "one trillion, fifty-three billion, one hundred million, four hundred fifteen thousand, three hundred".