34051541201 has 16 divisors (see below), whose sum is σ = 36688819200. Its totient is φ = 31499245008.

The previous prime is 34051541189. The next prime is 34051541267. The reversal of 34051541201 is 10214515043.

It is a cyclic number.

It is not a de Polignac number, because 34051541201 - 2²² = 34047346897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34051541281) 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, 4472540 + ... + 4480146.

It is an arithmetic number, because the mean of its divisors is an integer number (2293051200).

Almost surely, 2^34051541201 is an apocalyptic number.

It is an amenable number.

34051541201 is a deficient number, since it is larger than the sum of its proper divisors (2637277999).

34051541201 is a wasteful number, since it uses less digits than its factorization.

34051541201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148.

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 34051541201 in words is "thirty-four billion, fifty-one million, five hundred forty-one thousand, two hundred one".