1673646753025 has 45 divisors (see below), whose sum is σ = 2249728866303. Its totient is φ = 1235116490400.

The previous prime is 1673646753007. The next prime is 1673646753043. The reversal of 1673646753025 is 5203576463761.

The square root of 1673646753025 is 1293695.

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

It is an interprime number because it is at equal distance from previous prime (1673646753007) and next prime (1673646753043).

It can be written as a sum of positive squares in 7 ways, for example, as 1642106413809 + 31540339216 = 1281447^2 + 177596^2 .

It is not a de Polignac number, because 1673646753025 - 2⁹ = 1673646752513 is a prime.

It is a super-2 number, since 2×1673646753025² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1093171510 + ... + 1093173040.

Almost surely, 2^{1673646753025} is an apocalyptic number.

1673646753025 is the 1293695-th square number.

1673646753025 is the 646848-th centered octagonal number.

It is an amenable number.

1673646753025 is a deficient number, since it is larger than the sum of its proper divisors (576082113278).

1673646753025 is an frugal number, since it uses more digits than its factorization.

1673646753025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 55.

The spelling of 1673646753025 in words is "one trillion, six hundred seventy-three billion, six hundred forty-six million, seven hundred fifty-three thousand, twenty-five".