125310104001 has 40 divisors (see below), whose sum is σ = 193789074600. Its totient is φ = 80600002560.

The previous prime is 125310103981. The next prime is 125310104011. The reversal of 125310104001 is 100401013521.

125310104001 is a `hidden beast` number, since 1 + 253 + 1 + 0 + 10 + 400 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17610617025 + 107699486976 = 132705^2 + 328176^2 .

It is not a de Polignac number, because 125310104001 - 2⁶ = 125310103937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125310104011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3290811 + ... + 3328671.

It is an arithmetic number, because the mean of its divisors is an integer number (4844726865).

Almost surely, 2^125310104001 is an apocalyptic number.

It is an amenable number.

125310104001 is a deficient number, since it is larger than the sum of its proper divisors (68478970599).

125310104001 is a wasteful number, since it uses less digits than its factorization.

125310104001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39311 (or 39302 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 125310104001 its reverse (100401013521), we get a palindrome (225711117522).

The spelling of 125310104001 in words is "one hundred twenty-five billion, three hundred ten million, one hundred four thousand, one".