1051005245400 has 480 divisors, whose sum is σ = 4030176427200. Its totient is φ = 251715859200.

The previous prime is 1051005245347. The next prime is 1051005245413. The reversal of 1051005245400 is 45425001501.

1051005245400 is a `hidden beast` number, since 1 + 0 + 5 + 10 + 0 + 5 + 245 + 400 = 666.

It is a super-2 number, since 2×1051005245400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 14755071 + ... + 14826129.

It is an arithmetic number, because the mean of its divisors is an integer number (8396200890).

Almost surely, 2^{1051005245400} is an apocalyptic number.

1051005245400 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 1051005245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015088213600).

1051005245400 is an abundant number, since it is smaller than the sum of its proper divisors (2979171181800).

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

1051005245400 is a wasteful number, since it uses less digits than its factorization.

1051005245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71181 (or 71163 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1051005245400 in words is "one trillion, fifty-one billion, five million, two hundred forty-five thousand, four hundred".