122551533 has 36 divisors (see below), whose sum is σ = 193127220. Its totient is φ = 74850048.

The previous prime is 122551519. The next prime is 122551537. The reversal of 122551533 is 335155221.

It is a happy number.

122551533 is a `hidden beast` number, since 122 + 5 + 5 + 1 + 533 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3697929 + 118853604 = 1923^2 + 10902^2 .

It is not a de Polignac number, because 122551533 - 2⁶ = 122551469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122551497 and 122551506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122551537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 299433 + ... + 299841.

It is an arithmetic number, because the mean of its divisors is an integer number (5364645).

Almost surely, 2^122551533 is an apocalyptic number.

122551533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122551533 is a deficient number, since it is larger than the sum of its proper divisors (70575687).

122551533 is a wasteful number, since it uses less digits than its factorization.

122551533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 122551533 is about 11070.2995894420. The cubic root of 122551533 is about 496.7138267807.

The spelling of 122551533 in words is "one hundred twenty-two million, five hundred fifty-one thousand, five hundred thirty-three".