536967993961 has 9 divisors (see below), whose sum is σ = 624642204861. Its totient is φ = 460253883852.

The previous prime is 536967993953. The next prime is 536967993971. The reversal of 536967993961 is 169399769635.

The square root of 536967993961 is 732781.

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

It is not a de Polignac number, because 536967993961 - 2³ = 536967993953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (536967993931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5077126 + ... + 5181808.

It is an arithmetic number, because the mean of its divisors is an integer number (69404689429).

Almost surely, 2^536967993961 is an apocalyptic number.

536967993961 is the 732781-st square number.

536967993961 is the 366391-st centered octagonal number.

It is an amenable number.

536967993961 is a deficient number, since it is larger than the sum of its proper divisors (87674210900).

536967993961 is an frugal number, since it uses more digits than its factorization.

536967993961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209380 (or 104690 counting only the distinct ones).

The product of its digits is 446410440, while the sum is 73.

The spelling of 536967993961 in words is "five hundred thirty-six billion, nine hundred sixty-seven million, nine hundred ninety-three thousand, nine hundred sixty-one".