45123525 has 72 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 22080000.

The previous prime is 45123521. The next prime is 45123541. The reversal of 45123525 is 52532154.

It is a happy number.

It is not a de Polignac number, because 45123525 - 2² = 45123521 is a prime.

It is a super-2 number, since 2×45123525² = 4072265016851250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45123521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179650 + ... + 179900.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^45123525 is an apocalyptic number.

45123525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45123525 is a deficient number, since it is larger than the sum of its proper divisors (42620859).

45123525 is a wasteful number, since it uses less digits than its factorization.

45123525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 45123525 is about 6717.4046327432. The cubic root of 45123525 is about 356.0144888477.

Adding to 45123525 its reverse (52532154), we get a palindrome (97655679).

The spelling of 45123525 in words is "forty-five million, one hundred twenty-three thousand, five hundred twenty-five".