521420562362401 has 8 divisors (see below), whose sum is σ = 561530976456744. Its totient is φ = 481310311134720.

The previous prime is 521420562362387. The next prime is 521420562362417. The reversal of 521420562362401 is 104263265024125.

It can be written as a sum of positive squares in 4 ways, for example, as 80663121000225 + 440757441362176 = 8981265^2 + 20994224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 521420562362401 - 2¹¹ = 521420562360353 is a prime.

It is a super-3 number, since 3×521420562362401³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (521420562368401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34026640 + ... + 46911121.

It is an arithmetic number, because the mean of its divisors is an integer number (70191372057093).

Almost surely, 2^{521420562362401} is an apocalyptic number.

It is an amenable number.

521420562362401 is a deficient number, since it is larger than the sum of its proper divisors (40110414094343).

521420562362401 is a wasteful number, since it uses less digits than its factorization.

521420562362401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81433331.

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 521420562362401 in words is "five hundred twenty-one trillion, four hundred twenty billion, five hundred sixty-two million, three hundred sixty-two thousand, four hundred one".