34531352541 has 32 divisors (see below), whose sum is σ = 58912128000. Its totient is φ = 19581559920.

The previous prime is 34531352539. The next prime is 34531352543. The reversal of 34531352541 is 14525313543.

34531352541 is a `hidden beast` number, since 3 + 4 + 53 + 13 + 52 + 541 = 666.

It is an interprime number because it is at equal distance from previous prime (34531352539) and next prime (34531352543).

It is not a de Polignac number, because 34531352541 - 2¹ = 34531352539 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34531352496 and 34531352505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34531352543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672591 + ... + 722108.

It is an arithmetic number, because the mean of its divisors is an integer number (1841004000).

Almost surely, 2^34531352541 is an apocalyptic number.

It is an amenable number.

34531352541 is a deficient number, since it is larger than the sum of its proper divisors (24380775459).

34531352541 is a wasteful number, since it uses less digits than its factorization.

34531352541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394846 (or 1394840 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The spelling of 34531352541 in words is "thirty-four billion, five hundred thirty-one million, three hundred fifty-two thousand, five hundred forty-one".