961564601 has 2 divisors, whose sum is σ = 961564602. Its totient is φ = 961564600.

The previous prime is 961564579. The next prime is 961564607. The reversal of 961564601 is 106465169.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 540330025 + 421234576 = 23245^2 + 20524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-961564601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (961564607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 480782300 + 480782301.

It is an arithmetic number, because the mean of its divisors is an integer number (480782301).

Almost surely, 2^961564601 is an apocalyptic number.

It is an amenable number.

961564601 is a deficient number, since it is larger than the sum of its proper divisors (1).

961564601 is an equidigital number, since it uses as much as digits as its factorization.

961564601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 961564601 is about 31009.1051305903. The cubic root of 961564601 is about 987.0204607758.

The spelling of 961564601 in words is "nine hundred sixty-one million, five hundred sixty-four thousand, six hundred one".