1605464251625 has 96 divisors (see below), whose sum is σ = 2304142739808. Its totient is φ = 1109989785600.

The previous prime is 1605464251619. The next prime is 1605464251667. The reversal of 1605464251625 is 5261524645061.

It can be written as a sum of positive squares in 48 ways, for example, as 1605025474816 + 438776809 = 1266896^2 + 20947^2 .

It is not a de Polignac number, because 1605464251625 - 2¹⁴ = 1605464235241 is a prime.

It is a super-3 number, since 3×1605464251625³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1605464251625.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90628769 + ... + 90646481.

It is an arithmetic number, because the mean of its divisors is an integer number (24001486873).

Almost surely, 2^{1605464251625} is an apocalyptic number.

It is an amenable number.

1605464251625 is a deficient number, since it is larger than the sum of its proper divisors (698678488183).

1605464251625 is a wasteful number, since it uses less digits than its factorization.

1605464251625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17968 (or 17941 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

Adding to 1605464251625 its reverse (5261524645061), we get a palindrome (6866988896686).

The spelling of 1605464251625 in words is "one trillion, six hundred five billion, four hundred sixty-four million, two hundred fifty-one thousand, six hundred twenty-five".