125506821 has 32 divisors (see below), whose sum is σ = 186485760. Its totient is φ = 74448000.

The previous prime is 125506813. The next prime is 125506831. The reversal of 125506821 is 128605521.

It is not a de Polignac number, because 125506821 - 2³ = 125506813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125506831) 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, 443346 + ... + 443628.

It is an arithmetic number, because the mean of its divisors is an integer number (5827680).

Almost surely, 2^125506821 is an apocalyptic number.

125506821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125506821 is a deficient number, since it is larger than the sum of its proper divisors (60978939).

125506821 is a wasteful number, since it uses less digits than its factorization.

125506821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 125506821 is about 11202.9826831965. The cubic root of 125506821 is about 500.6748500783.

The spelling of 125506821 in words is "one hundred twenty-five million, five hundred six thousand, eight hundred twenty-one".