45506129 has 2 divisors, whose sum is σ = 45506130. Its totient is φ = 45506128.

The previous prime is 45506113. The next prime is 45506141. The reversal of 45506129 is 92160554.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40666129 + 4840000 = 6377^2 + 2200^2 .

It is a cyclic number.

It is not a de Polignac number, because 45506129 - 2⁴ = 45506113 is a prime.

It is a super-3 number, since 3×45506129³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45506095 and 45506104.

It is not a weakly prime, because it can be changed into another prime (45506179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22753064 + 22753065.

It is an arithmetic number, because the mean of its divisors is an integer number (22753065).

Almost surely, 2^45506129 is an apocalyptic number.

It is an amenable number.

45506129 is a deficient number, since it is larger than the sum of its proper divisors (1).

45506129 is an equidigital number, since it uses as much as digits as its factorization.

45506129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 45506129 is about 6745.8230780239. The cubic root of 45506129 is about 357.0178781517.

The spelling of 45506129 in words is "forty-five million, five hundred six thousand, one hundred twenty-nine".