2552553005002 has 128 divisors (see below), whose sum is σ = 5326769226240. Its totient is φ = 884896911360.

The previous prime is 2552553004999. The next prime is 2552553005017. The reversal of 2552553005002 is 2005003552552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35786158 + ... + 35857414.

It is an arithmetic number, because the mean of its divisors is an integer number (41615384580).

Almost surely, 2^{2552553005002} is an apocalyptic number.

2552553005002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2552553005002 is an abundant number, since it is smaller than the sum of its proper divisors (2774216221238).

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

2552553005002 is a wasteful number, since it uses less digits than its factorization.

2552553005002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71936.

The product of its (nonzero) digits is 75000, while the sum is 34.

Adding to 2552553005002 its reverse (2005003552552), we get a palindrome (4557556557554).

The spelling of 2552553005002 in words is "two trillion, five hundred fifty-two billion, five hundred fifty-three million, five thousand, two".