125610355401601 has 6 divisors (see below), whose sum is σ = 146118168528450. Its totient is φ = 107666018915616.

The previous prime is 125610355401527. The next prime is 125610355401653. The reversal of 125610355401601 is 106104553016521.

It can be written as a sum of positive squares in only one way, i.e., 87832134734400 + 37778220667201 = 9371880^2 + 6146399^2 .

It is not a de Polignac number, because 125610355401601 - 2⁷ = 125610355401473 is a prime.

It is a super-2 number, since 2×125610355401601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125610355491601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1281738320376 + ... + 1281738320473.

It is an arithmetic number, because the mean of its divisors is an integer number (24353028088075).

Almost surely, 2^{125610355401601} is an apocalyptic number.

It is an amenable number.

125610355401601 is a deficient number, since it is larger than the sum of its proper divisors (20507813126849).

125610355401601 is an equidigital number, since it uses as much as digits as its factorization.

125610355401601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563476640863 (or 2563476640856 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 125610355401601 in words is "one hundred twenty-five trillion, six hundred ten billion, three hundred fifty-five million, four hundred one thousand, six hundred one".