797268624201 has 45 divisors (see below), whose sum is σ = 1385525246391. Its totient is φ = 455549926608.

The previous prime is 797268624133. The next prime is 797268624223. The reversal of 797268624201 is 102426862797.

The square root of 797268624201 is 892899.

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

797268624201 is a `hidden beast` number, since 7 + 9 + 7 + 2 + 6 + 8 + 624 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 692082567225 + 105186056976 = 831915^2 + 324324^2 .

It is not a de Polignac number, because 797268624201 - 2²¹ = 797266527049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (797268624301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 56245551 + ... + 56259723.

Almost surely, 2^797268624201 is an apocalyptic number.

797268624201 is the 892899-th square number.

797268624201 is the 446450-th centered octagonal number.

It is an amenable number.

797268624201 is a deficient number, since it is larger than the sum of its proper divisors (588256622190).

797268624201 is an frugal number, since it uses more digits than its factorization.

797268624201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28372 (or 14183 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 797268624201 in words is "seven hundred ninety-seven billion, two hundred sixty-eight million, six hundred twenty-four thousand, two hundred one".