34125107561 has 16 divisors (see below), whose sum is σ = 34738891200. Its totient is φ = 33518641728.

The previous prime is 34125107557. The next prime is 34125107587. The reversal of 34125107561 is 16570152143.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34125107561 - 2² = 34125107557 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34125107591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4858310 + ... + 4865328.

It is an arithmetic number, because the mean of its divisors is an integer number (2171180700).

Almost surely, 2^34125107561 is an apocalyptic number.

It is an amenable number.

34125107561 is a deficient number, since it is larger than the sum of its proper divisors (613783639).

34125107561 is a wasteful number, since it uses less digits than its factorization.

34125107561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7528.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 34125107561 in words is "thirty-four billion, one hundred twenty-five million, one hundred seven thousand, five hundred sixty-one".