125121633 has 32 divisors (see below), whose sum is σ = 214265856. Its totient is φ = 63125568.

The previous prime is 125121599. The next prime is 125121643. The reversal of 125121633 is 336121521.

It is not a de Polignac number, because 125121633 - 2⁶ = 125121569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125121643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3685 + ... + 16242.

It is an arithmetic number, because the mean of its divisors is an integer number (6695808).

Almost surely, 2^125121633 is an apocalyptic number.

125121633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125121633 is a deficient number, since it is larger than the sum of its proper divisors (89144223).

125121633 is a wasteful number, since it uses less digits than its factorization.

125121633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19973.

The product of its digits is 1080, while the sum is 24.

The square root of 125121633 is about 11185.7781580005. The cubic root of 125121633 is about 500.1621247588.

The spelling of 125121633 in words is "one hundred twenty-five million, one hundred twenty-one thousand, six hundred thirty-three".