1053733629312 has 1536 divisors, whose sum is σ = 4176632678400. Its totient is φ = 256555745280.

The previous prime is 1053733629301. The next prime is 1053733629317. The reversal of 1053733629312 is 2139263373501.

1053733629312 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 7 + 3 + 3 + 629 + 3 + 12 = 666.

It is a super-2 number, since 2×1053733629312² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053733629317) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2935190989 + ... + 2935191347.

It is an arithmetic number, because the mean of its divisors is an integer number (2719161900).

Almost surely, 2^{1053733629312} is an apocalyptic number.

1053733629312 is a gapful number since it is divisible by the number (12) 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 1053733629312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088316339200).

1053733629312 is an abundant number, since it is smaller than the sum of its proper divisors (3122899049088).

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

1053733629312 is a wasteful number, since it uses less digits than its factorization.

1053733629312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 1053733629312 in words is "one trillion, fifty-three billion, seven hundred thirty-three million, six hundred twenty-nine thousand, three hundred twelve".