42801403225 has 81 divisors (see below), whose sum is σ = 64791951357. Its totient is φ = 27964231680.

The previous prime is 42801403223. The next prime is 42801403243. The reversal of 42801403225 is 52230410824.

The square root of 42801403225 is 206885.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10517938249 + 32283464976 = 102557^2 + 179676^2 .

It is not a de Polignac number, because 42801403225 - 2¹ = 42801403223 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42801403223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 166542297 + ... + 166542553.

Almost surely, 2^42801403225 is an apocalyptic number.

42801403225 is the 206885-th square number.

42801403225 is the 103443-rd centered octagonal number.

It is an amenable number.

42801403225 is a deficient number, since it is larger than the sum of its proper divisors (21990548132).

42801403225 is an equidigital number, since it uses as much as digits as its factorization.

42801403225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 42801403225 in words is "forty-two billion, eight hundred one million, four hundred three thousand, two hundred twenty-five".