821413949301 has 64 divisors (see below), whose sum is σ = 1378569830400. Its totient is φ = 478881979200.

The previous prime is 821413949281. The next prime is 821413949351. The reversal of 821413949301 is 103949314128.

821413949301 is a `hidden beast` number, since 8 + 21 + 4 + 139 + 493 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-821413949301 is a prime.

It is a super-2 number, since 2×821413949301² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821413949351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1270455 + ... + 1804683.

It is an arithmetic number, because the mean of its divisors is an integer number (21540153600).

Almost surely, 2^821413949301 is an apocalyptic number.

It is an amenable number.

821413949301 is a deficient number, since it is larger than the sum of its proper divisors (557155881099).

821413949301 is a wasteful number, since it uses less digits than its factorization.

821413949301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534447 (or 534441 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 821413949301 in words is "eight hundred twenty-one billion, four hundred thirteen million, nine hundred forty-nine thousand, three hundred one".