1225585431 has 16 divisors (see below), whose sum is σ = 2075065600. Its totient is φ = 700334424.

The previous prime is 1225585421. The next prime is 1225585451. The reversal of 1225585431 is 1345855221.

1225585431 is a `hidden beast` number, since 1 + 22 + 558 + 54 + 31 = 666.

It is not a de Polignac number, because 1225585431 - 2⁵ = 1225585399 is a prime.

It is a super-2 number, since 2×1225585431² = 3004119297358911522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225585421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3242101 + ... + 3242478.

It is an arithmetic number, because the mean of its divisors is an integer number (129691600).

Almost surely, 2^1225585431 is an apocalyptic number.

1225585431 is a deficient number, since it is larger than the sum of its proper divisors (849480169).

1225585431 is an equidigital number, since it uses as much as digits as its factorization.

1225585431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484595 (or 6484589 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 1225585431 is about 35008.3623010275. The cubic root of 1225585431 is about 1070.1579034441.

The spelling of 1225585431 in words is "one billion, two hundred twenty-five million, five hundred eighty-five thousand, four hundred thirty-one".