10312605601 has 9 divisors (see below), whose sum is σ = 10390261171. Its totient is φ = 10235528392.

The previous prime is 10312605599. The next prime is 10312605619. The reversal of 10312605601 is 10650621301.

The square root of 10312605601 is 101551.

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

It can be written as a sum of positive squares in only one way, i.e., 9380891025 + 931714576 = 96855^2 + 30524^2 .

It is not a de Polignac number, because 10312605601 - 2¹ = 10312605599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10312603601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17568030 + ... + 17568616.

Almost surely, 2^10312605601 is an apocalyptic number.

10312605601 is the 101551-st square number.

10312605601 is the 50776-th centered octagonal number.

It is an amenable number.

10312605601 is a deficient number, since it is larger than the sum of its proper divisors (77655570).

10312605601 is an frugal number, since it uses more digits than its factorization.

10312605601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Multiplying 10312605601 by its sum of digits (25), we get a square (257815140025 = 507755²).

The spelling of 10312605601 in words is "ten billion, three hundred twelve million, six hundred five thousand, six hundred one".