1051625248128 has 512 divisors, whose sum is σ = 3824261683200. Its totient is φ = 277042913280.

The previous prime is 1051625248097. The next prime is 1051625248147. The reversal of 1051625248128 is 8218425261501.

1051625248128 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 625 + 2 + 4 + 8 + 12 + 8 = 666.

It is a super-2 number, since 2×1051625248128² (a number of 25 digits) contains 22 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 63 ways as a sum of consecutive naturals, for example, 475202350 + ... + 475204562.

It is an arithmetic number, because the mean of its divisors is an integer number (7469261100).

Almost surely, 2^{1051625248128} is an apocalyptic number.

1051625248128 is a gapful number since it is divisible by the number (18) 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 1051625248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912130841600).

1051625248128 is an abundant number, since it is smaller than the sum of its proper divisors (2772636435072).

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

1051625248128 is a wasteful number, since it uses less digits than its factorization.

1051625248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1051625248128 in words is "one trillion, fifty-one billion, six hundred twenty-five million, two hundred forty-eight thousand, one hundred twenty-eight".