1004555175625 has 45 divisors (see below), whose sum is σ = 1284074113971. Its totient is φ = 785623236000.

The previous prime is 1004555175607. The next prime is 1004555175629. The reversal of 1004555175625 is 5265715554001.

The square root of 1004555175625 is 1002275.

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

1004555175625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 1002860042041 + 1695133584 = 1001429^2 + 41172^2 .

It is not a de Polignac number, because 1004555175625 - 2²⁹ = 1004018304713 is a prime.

It is a super-2 number, since 2×1004555175625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004555175629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1177672699 + ... + 1177673551.

Almost surely, 2^{1004555175625} is an apocalyptic number.

1004555175625 is the 1002275-th square number.

1004555175625 is the 501138-th centered octagonal number.

It is an amenable number.

1004555175625 is a deficient number, since it is larger than the sum of its proper divisors (279518938346).

1004555175625 is an frugal number, since it uses more digits than its factorization.

1004555175625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 46.

The spelling of 1004555175625 in words is "one trillion, four billion, five hundred fifty-five million, one hundred seventy-five thousand, six hundred twenty-five".