260931964225 has 45 divisors (see below), whose sum is σ = 342741897843. Its totient is φ = 197060167440.

The previous prime is 260931964219. The next prime is 260931964229. The reversal of 260931964225 is 522469139062.

The square root of 260931964225 is 510815.

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., 93935507121 + 166996457104 = 306489^2 + 408652^2 .

It is not a de Polignac number, because 260931964225 - 2¹⁵ = 260931931457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (260931964229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 922020934 + ... + 922021216.

Almost surely, 2^260931964225 is an apocalyptic number.

260931964225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

260931964225 is the 510815-th square number.

260931964225 is the 255408-th centered octagonal number.

It is an amenable number.

260931964225 is a deficient number, since it is larger than the sum of its proper divisors (81809933618).

260931964225 is an frugal number, since it uses more digits than its factorization.

260931964225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 260931964225 by its sum of digits (49), we get a square (12785666247025 = 3575705²).

The spelling of 260931964225 in words is "two hundred sixty billion, nine hundred thirty-one million, nine hundred sixty-four thousand, two hundred twenty-five".