821065151601 has 6 divisors (see below), whose sum is σ = 1185982996770. Its totient is φ = 547376767728.

The previous prime is 821065151563. The next prime is 821065151629. The reversal of 821065151601 is 106151560128.

821065151601 is a `hidden beast` number, since 82 + 1 + 0 + 6 + 515 + 1 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 815365656576 + 5699495025 = 902976^2 + 75495^2 .

It is not a de Polignac number, because 821065151601 - 2¹⁸ = 821064889457 is a prime.

It is a super-2 number, since 2×821065151601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (821065156601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45614730636 + ... + 45614730653.

It is an arithmetic number, because the mean of its divisors is an integer number (197663832795).

Almost surely, 2^821065151601 is an apocalyptic number.

It is an amenable number.

821065151601 is a deficient number, since it is larger than the sum of its proper divisors (364917845169).

821065151601 is a wasteful number, since it uses less digits than its factorization.

821065151601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91229461295 (or 91229461292 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 821065151601 in words is "eight hundred twenty-one billion, sixty-five million, one hundred fifty-one thousand, six hundred one".