34971607053 has 24 divisors (see below), whose sum is σ = 52067230488. Its totient is φ = 22602333312.

The previous prime is 34971607049. The next prime is 34971607063. The reversal of 34971607053 is 35070617943.

34971607053 is a `hidden beast` number, since 34 + 9 + 7 + 1 + 607 + 0 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15899444649 + 19072162404 = 126093^2 + 138102^2 .

It is not a de Polignac number, because 34971607053 - 2² = 34971607049 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34971607063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97326 + ... + 281807.

It is an arithmetic number, because the mean of its divisors is an integer number (2169467937).

Almost surely, 2^34971607053 is an apocalyptic number.

It is an amenable number.

34971607053 is a deficient number, since it is larger than the sum of its proper divisors (17095623435).

34971607053 is a wasteful number, since it uses less digits than its factorization.

34971607053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379453 (or 379450 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 34971607053 in words is "thirty-four billion, nine hundred seventy-one million, six hundred seven thousand, fifty-three".