210480005961 has 81 divisors (see below), whose sum is σ = 326107080117. Its totient is φ = 130807638720.

The previous prime is 210480005929. The next prime is 210480005987. The reversal of 210480005961 is 169500084012.

The square root of 210480005961 is 458781.

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

210480005961 is a `hidden beast` number, since 21 + 0 + 48 + 0 + 0 + 0 + 596 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32159607561 + 178320398400 = 179331^2 + 422280^2 .

It is not a de Polignac number, because 210480005961 - 2⁵ = 210480005929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210480000961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1931009175 + ... + 1931009283.

Almost surely, 2^210480005961 is an apocalyptic number.

210480005961 is the 458781-st square number.

210480005961 is the 229391-st centered octagonal number.

It is an amenable number.

210480005961 is a deficient number, since it is larger than the sum of its proper divisors (115627074156).

210480005961 is an equidigital number, since it uses as much as digits as its factorization.

210480005961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 210480005961 by its sum of digits (36), we get a square (7577280214596 = 2752686²).

Adding to 210480005961 its reverse (169500084012), we get a palindrome (379980089973).

The spelling of 210480005961 in words is "two hundred ten billion, four hundred eighty million, five thousand, nine hundred sixty-one".