1036281951054 has 384 divisors, whose sum is σ = 2826829824000. Its totient is φ = 284093399520.

The previous prime is 1036281951031. The next prime is 1036281951071. The reversal of 1036281951054 is 4501591826301.

It is a happy number.

1036281951054 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 2 + 81 + 9 + 510 + 54 = 666.

It is a super-3 number, since 3×1036281951054³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 656289237 + ... + 656290815.

It is an arithmetic number, because the mean of its divisors is an integer number (7361536000).

Almost surely, 2^{1036281951054} is an apocalyptic number.

1036281951054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036281951054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413414912000).

1036281951054 is an abundant number, since it is smaller than the sum of its proper divisors (1790547872946).

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

1036281951054 is a wasteful number, since it uses less digits than its factorization.

1036281951054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1036281951054 in words is "one trillion, thirty-six billion, two hundred eighty-one million, nine hundred fifty-one thousand, fifty-four".