420521113051245 has 320 divisors, whose sum is σ = 793775064519360. Its totient is φ = 212784537600000.

The previous prime is 420521113051211. The next prime is 420521113051253. The reversal of 420521113051245 is 542150311125024.

420521113051245 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 2 + 1 + 1 + 130 + 512 + 4 + 5 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 345422631631401 + 75098481419844 = 18585549^2 + 8665938^2 .

It is not a de Polignac number, because 420521113051245 - 2¹⁴ = 420521113034861 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 82763452105 + ... + 82763457185.

It is an arithmetic number, because the mean of its divisors is an integer number (2480547076623).

Almost surely, 2^{420521113051245} is an apocalyptic number.

420521113051245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420521113051245 is a deficient number, since it is larger than the sum of its proper divisors (373253951468115).

420521113051245 is a wasteful number, since it uses less digits than its factorization.

420521113051245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 420521113051245 its reverse (542150311125024), we get a palindrome (962671424176269).

The spelling of 420521113051245 in words is "four hundred twenty trillion, five hundred twenty-one billion, one hundred thirteen million, fifty-one thousand, two hundred forty-five".