225777005601 has 16 divisors (see below), whose sum is σ = 344185238400. Its totient is φ = 128961399168.

The previous prime is 225777005563. The next prime is 225777005639. The reversal of 225777005601 is 106500777522.

It is an interprime number because it is at equal distance from previous prime (225777005563) and next prime (225777005639).

It is not a de Polignac number, because 225777005601 - 2¹⁰ = 225777004577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225777005651) 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 15 ways as a sum of consecutive naturals, for example, 2199996 + ... + 2300333.

It is an arithmetic number, because the mean of its divisors is an integer number (21511577400).

Almost surely, 2^225777005601 is an apocalyptic number.

225777005601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225777005601 is a deficient number, since it is larger than the sum of its proper divisors (118408232799).

225777005601 is a wasteful number, since it uses less digits than its factorization.

225777005601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502728.

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 225777005601 in words is "two hundred twenty-five billion, seven hundred seventy-seven million, five thousand, six hundred one".