123577253 has 8 divisors (see below), whose sum is σ = 127695360. Its totient is φ = 119467440.

The previous prime is 123577249. The next prime is 123577261. The reversal of 123577253 is 352775321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123577253 - 2² = 123577249 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123577213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47051 + ... + 49607.

It is an arithmetic number, because the mean of its divisors is an integer number (15961920).

Almost surely, 2^123577253 is an apocalyptic number.

It is an amenable number.

123577253 is a deficient number, since it is larger than the sum of its proper divisors (4118107).

123577253 is a wasteful number, since it uses less digits than its factorization.

123577253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147.

The product of its digits is 44100, while the sum is 35.

The square root of 123577253 is about 11116.5306188577. The cubic root of 123577253 is about 498.0957609540.

The spelling of 123577253 in words is "one hundred twenty-three million, five hundred seventy-seven thousand, two hundred fifty-three".