824520296961 has 27 divisors (see below), whose sum is σ = 1219488191649. Its totient is φ = 536820662952.

The previous prime is 824520296893. The next prime is 824520296989. The reversal of 824520296961 is 169692025428.

The square root of 824520296961 is 908031.

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

824520296961 is a `hidden beast` number, since 8 + 2 + 4 + 520 + 29 + 6 + 96 + 1 = 666.

It is not a de Polignac number, because 824520296961 - 2²⁷ = 824386079233 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 824520296898 and 824520296907.

It is not an unprimeable number, because it can be changed into a prime (824520276961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117132480 + ... + 117139518.

Almost surely, 2^824520296961 is an apocalyptic number.

824520296961 is the 908031-st square number.

824520296961 is the 454016-th centered octagonal number.

It is an amenable number.

824520296961 is a deficient number, since it is larger than the sum of its proper divisors (394967894688).

824520296961 is an frugal number, since it uses more digits than its factorization.

824520296961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14170 (or 7085 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

It can be divided in two parts, 824520 and 296961, that added together give a square (1121481 = 1059²).

The spelling of 824520296961 in words is "eight hundred twenty-four billion, five hundred twenty million, two hundred ninety-six thousand, nine hundred sixty-one".