260461205316 has 189 divisors, whose sum is σ = 741030191181. Its totient is φ = 80031672864.

The previous prime is 260461205311. The next prime is 260461205321. The reversal of 260461205316 is 613502164062.

The square root of 260461205316 is 510354.

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

260461205316 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 612 + 0 + 5 + 31 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (260461205311) and next prime (260461205321).

It can be written as a sum of positive squares in only one way, i.e., 38529764100 + 221931441216 = 196290^2 + 471096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (260461205311) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 358268145 + ... + 358268871.

Almost surely, 2^260461205316 is an apocalyptic number.

260461205316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

260461205316 is the 510354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260461205316

260461205316 is an abundant number, since it is smaller than the sum of its proper divisors (480568985865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260461205316 is an frugal number, since it uses more digits than its factorization.

260461205316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 260461205316 by its sum of digits (36), we get a square (9376603391376 = 3062124²).

260461205316 divided by its sum of digits (36) gives a square (7235033481 = 85059²).

Adding to 260461205316 its reverse (613502164062), we get a palindrome (873963369378).

The spelling of 260461205316 in words is "two hundred sixty billion, four hundred sixty-one million, two hundred five thousand, three hundred sixteen".