420113513520025 has 72 divisors (see below), whose sum is σ = 613420351814664. Its totient is φ = 284096816640000.

The previous prime is 420113513519941. The next prime is 420113513520047. The reversal of 420113513520025 is 520025315311024.

It can be written as a sum of positive squares in 36 ways, for example, as 410325144042256 + 9788369477769 = 20256484^2 + 3128637^2 .

It is not a de Polignac number, because 420113513520025 - 2⁷ = 420113513519897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76384726 + ... + 81699775.

It is an arithmetic number, because the mean of its divisors is an integer number (8519727108537).

Almost surely, 2^{420113513520025} is an apocalyptic number.

It is an amenable number.

420113513520025 is a deficient number, since it is larger than the sum of its proper divisors (193306838294639).

420113513520025 is a wasteful number, since it uses less digits than its factorization.

420113513520025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158084591 (or 158084573 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 420113513520025 its reverse (520025315311024), we get a palindrome (940138828831049).

The spelling of 420113513520025 in words is "four hundred twenty trillion, one hundred thirteen billion, five hundred thirteen million, five hundred twenty thousand, twenty-five".