125513000001 has 24 divisors (see below), whose sum is σ = 181549485000. Its totient is φ = 83558694912.

The previous prime is 125512999933. The next prime is 125513000023. The reversal of 125513000001 is 100000315521.

It can be written as a sum of positive squares in 4 ways, for example, as 7485710400 + 118027289601 = 86520^2 + 343551^2 .

It is not a de Polignac number, because 125513000001 - 2¹⁰ = 125512998977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125513010001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26995525 + ... + 27000173.

It is an arithmetic number, because the mean of its divisors is an integer number (7564561875).

Almost surely, 2^125513000001 is an apocalyptic number.

It is an amenable number.

125513000001 is a deficient number, since it is larger than the sum of its proper divisors (56036484999).

125513000001 is a wasteful number, since it uses less digits than its factorization.

125513000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193 (or 8190 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 125513000001 its reverse (100000315521), we get a palindrome (225513315522).

The spelling of 125513000001 in words is "one hundred twenty-five billion, five hundred thirteen million, one", and thus it is an aban number.