125624529002821 has 2 divisors, whose sum is σ = 125624529002822. Its totient is φ = 125624529002820.

The previous prime is 125624529002759. The next prime is 125624529002887. The reversal of 125624529002821 is 128200925426521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96536736246721 + 29087792756100 = 9825311^2 + 5393310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-125624529002821 is a prime.

It is a super-2 number, since 2×125624529002821² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125624529062821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62812264501410 + 62812264501411.

It is an arithmetic number, because the mean of its divisors is an integer number (62812264501411).

Almost surely, 2^{125624529002821} is an apocalyptic number.

It is an amenable number.

125624529002821 is a deficient number, since it is larger than the sum of its proper divisors (1).

125624529002821 is an equidigital number, since it uses as much as digits as its factorization.

125624529002821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 125624529002821 in words is "one hundred twenty-five trillion, six hundred twenty-four billion, five hundred twenty-nine million, two thousand, eight hundred twenty-one".