625516556688241 has 9 divisors (see below), whose sum is σ = 637542789907009. Its totient is φ = 613713056968336.

The previous prime is 625516556688239. The next prime is 625516556688259. The reversal of 625516556688241 is 142886655615526.

The square root of 625516556688241 is 25010329.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6719091278641 + 618797465409600 = 2592121^2 + 24875640^2 .

It is not a de Polignac number, because 625516556688241 - 2¹ = 625516556688239 is a prime.

It is a super-2 number, since 2×625516556688241² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (625516056688241) 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, 1325311491 + ... + 1325783383.

Almost surely, 2^{625516556688241} is an apocalyptic number.

625516556688241 is the 25010329-th square number.

625516556688241 is the 12505165-th centered octagonal number.

It is an amenable number.

625516556688241 is a deficient number, since it is larger than the sum of its proper divisors (12026233218768).

625516556688241 is an frugal number, since it uses more digits than its factorization.

625516556688241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943892 (or 471946 counting only the distinct ones).

The product of its digits is 829440000, while the sum is 70.

The spelling of 625516556688241 in words is "six hundred twenty-five trillion, five hundred sixteen billion, five hundred fifty-six million, six hundred eighty-eight thousand, two hundred forty-one".