125522991 has 24 divisors (see below), whose sum is σ = 204618960. Its totient is φ = 73449600.

The previous prime is 125522941. The next prime is 125522993. The reversal of 125522991 is 199225521.

It is a happy number.

125522991 is a `hidden beast` number, since 12 + 552 + 2 + 9 + 91 = 666.

It is not a de Polignac number, because 125522991 - 2⁶ = 125522927 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125522993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18990 + ... + 24731.

It is an arithmetic number, because the mean of its divisors is an integer number (8525790).

Almost surely, 2^125522991 is an apocalyptic number.

125522991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125522991 is a deficient number, since it is larger than the sum of its proper divisors (79095969).

125522991 is a wasteful number, since it uses less digits than its factorization.

125522991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43767 (or 43764 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 125522991 is about 11203.7043427609. The cubic root of 125522991 is about 500.6963510735.

It can be divided in two parts, 1255229 and 91, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 125522991 in words is "one hundred twenty-five million, five hundred twenty-two thousand, nine hundred ninety-one".