1074384075625 has 45 divisors (see below), whose sum is σ = 1562005952001. Its totient is φ = 736596126000.

The previous prime is 1074384075623. The next prime is 1074384075629. The reversal of 1074384075625 is 5265704834701.

The square root of 1074384075625 is 1036525.

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

It can be written as a sum of positive squares in 2 ways, for example, as 84231711529 + 990152364096 = 290227^2 + 995064^2 .

It is not a de Polignac number, because 1074384075625 - 2¹ = 1074384075623 is a prime.

It is a super-2 number, since 2×1074384075625² (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 (1074384075623) 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, 181388914 + ... + 181394836.

Almost surely, 2^{1074384075625} is an apocalyptic number.

1074384075625 is the 1036525-th square number.

1074384075625 is the 518263-rd centered octagonal number.

It is an amenable number.

1074384075625 is a deficient number, since it is larger than the sum of its proper divisors (487621876376).

1074384075625 is an frugal number, since it uses more digits than its factorization.

1074384075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11880 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 52.

The spelling of 1074384075625 in words is "one trillion, seventy-four billion, three hundred eighty-four million, seventy-five thousand, six hundred twenty-five".