1002811974025 has 27 divisors (see below), whose sum is σ = 1278239060511. Its totient is φ = 780422955840.

The previous prime is 1002811973983. The next prime is 1002811974041. The reversal of 1002811974025 is 5204791182001.

The square root of 1002811974025 is 1001405.

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

It can be written as a sum of positive squares in 13 ways, for example, as 488269730169 + 514542243856 = 698763^2 + 717316^2 .

It is not a de Polignac number, because 1002811974025 - 2¹¹ = 1002811971977 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185257219 + ... + 185262631.

Almost surely, 2^{1002811974025} is an apocalyptic number.

1002811974025 is the 1001405-th square number.

1002811974025 is the 500703-rd centered octagonal number.

It is an amenable number.

1002811974025 is a deficient number, since it is larger than the sum of its proper divisors (275427086486).

1002811974025 is an frugal number, since it uses more digits than its factorization.

1002811974025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10910 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

It can be divided in two parts, 1002811 and 974025, that added together give a square (1976836 = 1406²).

The spelling of 1002811974025 in words is "one trillion, two billion, eight hundred eleven million, nine hundred seventy-four thousand, twenty-five".