1005016275025 has 27 divisors (see below), whose sum is σ = 1449735314331. Its totient is φ = 689129957040.

The previous prime is 1005016275019. The next prime is 1005016275077. The reversal of 1005016275025 is 5205726105001.

The square root of 1005016275025 is 1002505.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 361805859009 + 643210416016 = 601503^2 + 802004^2 .

It is not a de Polignac number, because 1005016275025 - 2¹⁷ = 1005016143953 is a prime.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 35073354 + ... + 35101996.

Almost surely, 2^{1005016275025} is an apocalyptic number.

1005016275025 is the 1002505-th square number.

1005016275025 is the 501253-rd centered octagonal number.

It is an amenable number.

1005016275025 is a deficient number, since it is larger than the sum of its proper divisors (444719039306).

1005016275025 is an frugal number, since it uses more digits than its factorization.

1005016275025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57310 (or 28655 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 1005016275025 in words is "one trillion, five billion, sixteen million, two hundred seventy-five thousand, twenty-five".