125261537 has 16 divisors (see below), whose sum is σ = 131725440. Its totient is φ = 119011200.

The previous prime is 125261453. The next prime is 125261557. The reversal of 125261537 is 735162521.

It is a cyclic number.

It is not a de Polignac number, because 125261537 - 2¹⁸ = 124999393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125261557) 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 15 ways as a sum of consecutive naturals, for example, 271487 + ... + 271947.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2^125261537 is an apocalyptic number.

It is an amenable number.

125261537 is a deficient number, since it is larger than the sum of its proper divisors (6463903).

125261537 is an equidigital number, since it uses as much as digits as its factorization.

125261537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664.

The product of its digits is 12600, while the sum is 32.

The square root of 125261537 is about 11192.0300660783. The cubic root of 125261537 is about 500.3484730766.

The spelling of 125261537 in words is "one hundred twenty-five million, two hundred sixty-one thousand, five hundred thirty-seven".