510694607641 has 27 divisors (see below), whose sum is σ = 548464863807. Its totient is φ = 475428381120.

The previous prime is 510694607627. The next prime is 510694607663. The reversal of 510694607641 is 146706496015.

The square root of 510694607641 is 714629.

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., 397599608025 + 113094999616 = 630555^2 + 336296^2 .

It is not a de Polignac number, because 510694607641 - 2⁷ = 510694607513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (510694607611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1542883846 + ... + 1542884176.

Almost surely, 2^510694607641 is an apocalyptic number.

510694607641 is the 714629-th square number.

510694607641 is the 357315-th centered octagonal number.

It is an amenable number.

510694607641 is a deficient number, since it is larger than the sum of its proper divisors (37770256166).

510694607641 is an frugal number, since it uses more digits than its factorization.

510694607641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 510694607641 by its sum of digits (49), we get a square (25024035774409 = 5002403²).

The spelling of 510694607641 in words is "five hundred ten billion, six hundred ninety-four million, six hundred seven thousand, six hundred forty-one".