1051349136000 has 512 divisors, whose sum is σ = 3650772902400. Its totient is φ = 267137024000.

The previous prime is 1051349135987. The next prime is 1051349136017. The reversal of 1051349136000 is 6319431501.

It is a super-2 number, since 2×1051349136000² (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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310222306 + ... + 310225694.

It is an arithmetic number, because the mean of its divisors is an integer number (7130415825).

Almost surely, 2^{1051349136000} is an apocalyptic number.

1051349136000 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 1051349136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825386451200).

1051349136000 is an abundant number, since it is smaller than the sum of its proper divisors (2599423766400).

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

1051349136000 is a wasteful number, since it uses less digits than its factorization.

1051349136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 1051349136000 in words is "one trillion, fifty-one billion, three hundred forty-nine million, one hundred thirty-six thousand".