2225405312319 has 32 divisors (see below), whose sum is σ = 3429513077760. Its totient is φ = 1257255597312.

The previous prime is 2225405312311. The next prime is 2225405312321. The reversal of 2225405312319 is 9132135045222.

It is not a de Polignac number, because 2225405312319 - 2³ = 2225405312311 is a prime.

It is a super-2 number, since 2×2225405312319² (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 (2225405312311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22672462 + ... + 22770404.

It is an arithmetic number, because the mean of its divisors is an integer number (107172283680).

Almost surely, 2^{2225405312319} is an apocalyptic number.

2225405312319 is a deficient number, since it is larger than the sum of its proper divisors (1204107765441).

2225405312319 is a wasteful number, since it uses less digits than its factorization.

2225405312319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110199.

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 2225405312319 in words is "two trillion, two hundred twenty-five billion, four hundred five million, three hundred twelve thousand, three hundred nineteen".