1006219641025 has 27 divisors (see below), whose sum is σ = 1316962417251. Its totient is φ = 762536346480.

The previous prime is 1006219641023. The next prime is 1006219641071. The reversal of 1006219641025 is 5201469126001.

The square root of 1006219641025 is 1003105.

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., 362239070769 + 643980570256 = 601863^2 + 802484^2 .

It is not a de Polignac number, because 1006219641025 - 2¹ = 1006219641023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006219641023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95289696 + ... + 95300254.

Almost surely, 2^{1006219641025} is an apocalyptic number.

1006219641025 is the 1003105-th square number.

1006219641025 is the 501553-rd centered octagonal number.

It is an amenable number.

1006219641025 is a deficient number, since it is larger than the sum of its proper divisors (310742776226).

1006219641025 is an frugal number, since it uses more digits than its factorization.

1006219641025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21166 (or 10583 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1006219641025 in words is "one trillion, six billion, two hundred nineteen million, six hundred forty-one thousand, twenty-five".