420056510025 has 48 divisors (see below), whose sum is σ = 702457325568. Its totient is φ = 221473728000.

The previous prime is 420056510009. The next prime is 420056510063. The reversal of 420056510025 is 520015650024.

It is not a de Polignac number, because 420056510025 - 2⁴ = 420056510009 is a prime.

It is a super-2 number, since 2×420056510025² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420056509974 and 420056510001.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2598055 + ... + 2754995.

It is an arithmetic number, because the mean of its divisors is an integer number (14634527616).

Almost surely, 2^420056510025 is an apocalyptic number.

It is an amenable number.

420056510025 is a deficient number, since it is larger than the sum of its proper divisors (282400815543).

420056510025 is a wasteful number, since it uses less digits than its factorization.

420056510025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157362 (or 157357 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 420056510025 in words is "four hundred twenty billion, fifty-six million, five hundred ten thousand, twenty-five".