1004154305625 has 135 divisors (see below), whose sum is σ = 1877184606297. Its totient is φ = 517070700000.

The previous prime is 1004154305591. The next prime is 1004154305663. The reversal of 1004154305625 is 5265034514001.

The square root of 1004154305625 is 1002075.

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

1004154305625 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 54 + 3 + 0 + 562 + 5 = 666.

1004154305625 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 78725697561 + 925428608064 = 280581^2 + 961992^2 .

It is not a de Polignac number, because 1004154305625 - 2¹¹ = 1004154303577 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004154305625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2329824160 + ... + 2329824590.

Almost surely, 2^{1004154305625} is an apocalyptic number.

1004154305625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1004154305625 is the 1002075-th square number.

1004154305625 is the 501038-th centered octagonal number.

It is an amenable number.

1004154305625 is a deficient number, since it is larger than the sum of its proper divisors (873030300672).

1004154305625 is an frugal number, since it uses more digits than its factorization.

1004154305625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 1004154305625 by its sum of digits (36), we get a square (36149555002500 = 6012450²).

Adding to 1004154305625 its reverse (5265034514001), we get a palindrome (6269188819626).

The spelling of 1004154305625 in words is "one trillion, four billion, one hundred fifty-four million, three hundred five thousand, six hundred twenty-five".