45505957 has 12 divisors (see below), whose sum is σ = 56050380. Its totient is φ = 36710016.

The previous prime is 45505951. The next prime is 45505961. The reversal of 45505957 is 75950554.

It can be written as a sum of positive squares in 2 ways, for example, as 33108516 + 12397441 = 5754^2 + 3521^2 .

It is not a de Polignac number, because 45505957 - 2³ = 45505949 is a prime.

It is a super-3 number, since 3×45505957³ (a number of 24 digits) contains 333 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 (45505951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26482 + ... + 28147.

It is an arithmetic number, because the mean of its divisors is an integer number (4670865).

Almost surely, 2^45505957 is an apocalyptic number.

It is an amenable number.

45505957 is a deficient number, since it is larger than the sum of its proper divisors (10544423).

45505957 is a wasteful number, since it uses less digits than its factorization.

45505957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54660 (or 54653 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 40.

The square root of 45505957 is about 6745.8103293822. The cubic root of 45505957 is about 357.0174283431.

The spelling of 45505957 in words is "forty-five million, five hundred five thousand, nine hundred fifty-seven".