34513052541 has 16 divisors (see below), whose sum is σ = 50257827648. Its totient is φ = 20893241600.

The previous prime is 34513052507. The next prime is 34513052579. The reversal of 34513052541 is 14525031543.

It is not a de Polignac number, because 34513052541 - 2¹⁵ = 34513019773 is a prime.

It is a super-3 number, since 3×34513052541³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513051541) 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, 564486 + ... + 622631.

It is an arithmetic number, because the mean of its divisors is an integer number (3141114228).

Almost surely, 2^34513052541 is an apocalyptic number.

It is an amenable number.

34513052541 is a deficient number, since it is larger than the sum of its proper divisors (15744775107).

34513052541 is a wasteful number, since it uses less digits than its factorization.

34513052541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188012.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 34513052541 in words is "thirty-four billion, five hundred thirteen million, fifty-two thousand, five hundred forty-one".