2225435414031 has 32 divisors (see below), whose sum is σ = 3398186787840. Its totient is φ = 1438748287200.

The previous prime is 2225435414009. The next prime is 2225435414051. The reversal of 2225435414031 is 1304145345222.

It is a happy number.

2225435414031 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 43 + 541 + 40 + 31 = 666.

It is not a de Polignac number, because 2225435414031 - 2⁶ = 2225435413967 is a prime.

It is a super-2 number, since 2×2225435414031² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225435414051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9398595 + ... + 9632468.

It is an arithmetic number, because the mean of its divisors is an integer number (106193337120).

Almost surely, 2^{2225435414031} is an apocalyptic number.

2225435414031 is a deficient number, since it is larger than the sum of its proper divisors (1172751373809).

2225435414031 is a wasteful number, since it uses less digits than its factorization.

2225435414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19031204 (or 19031198 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2225435414031 in words is "two trillion, two hundred twenty-five billion, four hundred thirty-five million, four hundred fourteen thousand, thirty-one".