693397617025 has 9 divisors (see below), whose sum is σ = 859818207913. Its totient is φ = 554714762800.

The previous prime is 693397617007. The next prime is 693397617043. The reversal of 693397617025 is 520716793396.

The square root of 693397617025 is 832705.

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 (693397617007) and next prime (693397617043).

It can be written as a sum of positive squares in 4 ways, for example, as 31804085569 + 661593531456 = 178337^2 + 813384^2 .

It is not a de Polignac number, because 693397617025 - 2¹³ = 693397608833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4080255 + ... + 4246795.

Almost surely, 2^693397617025 is an apocalyptic number.

693397617025 is the 832705-th square number.

693397617025 is the 416353-rd centered octagonal number.

It is an amenable number.

693397617025 is a deficient number, since it is larger than the sum of its proper divisors (166420590888).

693397617025 is an frugal number, since it uses more digits than its factorization.

693397617025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333092 (or 166546 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 58.

The spelling of 693397617025 in words is "six hundred ninety-three billion, three hundred ninety-seven million, six hundred seventeen thousand, twenty-five".