1625126350401 has 48 divisors (see below), whose sum is σ = 2471190845760. Its totient is φ = 1027743050880.

The previous prime is 1625126350391. The next prime is 1625126350423. The reversal of 1625126350401 is 1040536215261.

1625126350401 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 12 + 635 + 0 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 1625126350401 - 2²³ = 1625117961793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1625126350201) 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 47 ways as a sum of consecutive naturals, for example, 3713770 + ... + 4128236.

It is an arithmetic number, because the mean of its divisors is an integer number (51483142620).

Almost surely, 2^{1625126350401} is an apocalyptic number.

It is an amenable number.

1625126350401 is a deficient number, since it is larger than the sum of its proper divisors (846064495359).

1625126350401 is a wasteful number, since it uses less digits than its factorization.

1625126350401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414766 (or 414763 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1625126350401 in words is "one trillion, six hundred twenty-five billion, one hundred twenty-six million, three hundred fifty thousand, four hundred one".