1025913185010 has 256 divisors, whose sum is σ = 3397319884800. Its totient is φ = 214986182400.

The previous prime is 1025913184997. The next prime is 1025913185027. The reversal of 1025913185010 is 105813195201.

1025913185010 is a `hidden beast` number, since 1 + 0 + 2 + 591 + 3 + 1 + 8 + 50 + 10 = 666.

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 127 ways as a sum of consecutive naturals, for example, 652420 + ... + 1574000.

It is an arithmetic number, because the mean of its divisors is an integer number (13270780800).

Almost surely, 2^{1025913185010} is an apocalyptic number.

1025913185010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025913185010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698659942400).

1025913185010 is an abundant number, since it is smaller than the sum of its proper divisors (2371406699790).

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

1025913185010 is a wasteful number, since it uses less digits than its factorization.

1025913185010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921654 (or 921648 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 1025913185010 in words is "one trillion, twenty-five billion, nine hundred thirteen million, one hundred eighty-five thousand, ten".