1007925642025 has 27 divisors (see below), whose sum is σ = 1257386067621. Its totient is φ = 801493418880.

The previous prime is 1007925642007. The next prime is 1007925642071. The reversal of 1007925642025 is 5202465297001.

The square root of 1007925642025 is 1003955.

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

It can be written as a sum of positive squares in 4 ways, for example, as 112169396889 + 895756245136 = 334917^2 + 946444^2 .

It is not a de Polignac number, because 1007925642025 - 2³⁵ = 973565903657 is a prime.

It is a super-2 number, since 2×1007925642025² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 998934721 + ... + 998935729.

Almost surely, 2^{1007925642025} is an apocalyptic number.

1007925642025 is the 1003955-th square number.

1007925642025 is the 501978-th centered octagonal number.

It is an amenable number.

1007925642025 is a deficient number, since it is larger than the sum of its proper divisors (249460425596).

1007925642025 is an frugal number, since it uses more digits than its factorization.

1007925642025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 1007925642025 in words is "one trillion, seven billion, nine hundred twenty-five million, six hundred forty-two thousand, twenty-five".