1053708032538 has 288 divisors, whose sum is σ = 2937951656640. Its totient is φ = 271045232640.

The previous prime is 1053708032513. The next prime is 1053708032539. The reversal of 1053708032538 is 8352308073501.

1053708032538 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 7 + 0 + 80 + 32 + 538 = 666.

It is a super-2 number, since 2×1053708032538² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053708032493 and 1053708032502.

It is not an unprimeable number, because it can be changed into a prime (1053708032539) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26642218 + ... + 26681738.

It is an arithmetic number, because the mean of its divisors is an integer number (10201221030).

Almost surely, 2^{1053708032538} is an apocalyptic number.

1053708032538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053708032538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468975828320).

1053708032538 is an abundant number, since it is smaller than the sum of its proper divisors (1884243624102).

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

1053708032538 is a wasteful number, since it uses less digits than its factorization.

1053708032538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39642 (or 39632 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1053708032538 in words is "one trillion, fifty-three billion, seven hundred eight million, thirty-two thousand, five hundred thirty-eight".