641560950625 has 135 divisors (see below), whose sum is σ = 979817077701. Its totient is φ = 418685652000.

The previous prime is 641560950607. The next prime is 641560950689. The reversal of 641560950625 is 526059065146.

The square root of 641560950625 is 800975.

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

It can be written as a sum of positive squares in 2 ways, for example, as 50298378529 + 591262572096 = 224273^2 + 768936^2 .

It is not a de Polignac number, because 641560950625 - 2⁵ = 641560950593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3223924276 + ... + 3223924474.

Almost surely, 2^641560950625 is an apocalyptic number.

641560950625 is the 800975-th square number.

641560950625 is the 400488-th centered octagonal number.

It is an amenable number.

641560950625 is a deficient number, since it is larger than the sum of its proper divisors (338256127076).

641560950625 is an frugal number, since it uses more digits than its factorization.

641560950625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

Multiplying 641560950625 by its sum of digits (49), we get a square (31436486580625 = 5606825²).

641560950625 divided by its sum of digits (49) gives a square (13093080625 = 114425²).

The spelling of 641560950625 in words is "six hundred forty-one billion, five hundred sixty million, nine hundred fifty thousand, six hundred twenty-five".