1005010025088 has 32 divisors (see below), whose sum is σ = 2669557880160. Its totient is φ = 335003341568.

The previous prime is 1005010025087. The next prime is 1005010025111. The reversal of 1005010025088 is 8805200105001.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1005010025087) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1308606420 + ... + 1308607187.

It is an arithmetic number, because the mean of its divisors is an integer number (83423683755).

Almost surely, 2^{1005010025088} is an apocalyptic number.

It is an amenable number.

1005010025088 is an abundant number, since it is smaller than the sum of its proper divisors (1664547855072).

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

1005010025088 is an equidigital number, since it uses as much as digits as its factorization.

1005010025088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617213624 (or 2617213612 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The spelling of 1005010025088 in words is "one trillion, five billion, ten million, twenty-five thousand, eighty-eight".