1034537253792 has 192 divisors, whose sum is σ = 3310168861440. Its totient is φ = 276163854336.

The previous prime is 1034537253779. The next prime is 1034537253853. The reversal of 1034537253792 is 2973527354301.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 1234584 + ... + 1895592.

It is an arithmetic number, because the mean of its divisors is an integer number (17240462820).

Almost surely, 2^{1034537253792} is an apocalyptic number.

1034537253792 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 1034537253792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655084430720).

1034537253792 is an abundant number, since it is smaller than the sum of its proper divisors (2275631607648).

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

1034537253792 is a wasteful number, since it uses less digits than its factorization.

1034537253792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661183 (or 661175 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 51.

The spelling of 1034537253792 in words is "one trillion, thirty-four billion, five hundred thirty-seven million, two hundred fifty-three thousand, seven hundred ninety-two".