34521144210513 has 12 divisors (see below), whose sum is σ = 49894788739380. Its totient is φ = 22999828247136.

The previous prime is 34521144210491. The next prime is 34521144210521. The reversal of 34521144210513 is 31501244112543.

34521144210513 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 114 + 4 + 21 + 0 + 513 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17188843359249 + 17332300851264 = 4145943^2 + 4163208^2 .

It is not a de Polignac number, because 34521144210513 - 2³⁶ = 34452424733777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34521144260513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1188975778 + ... + 1189004811.

It is an arithmetic number, because the mean of its divisors is an integer number (4157899061615).

Almost surely, 2^{34521144210513} is an apocalyptic number.

It is an amenable number.

34521144210513 is a deficient number, since it is larger than the sum of its proper divisors (15373644528867).

34521144210513 is a wasteful number, since it uses less digits than its factorization.

34521144210513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377982208 (or 2377982205 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 34521144210513 in words is "thirty-four trillion, five hundred twenty-one billion, one hundred forty-four million, two hundred ten thousand, five hundred thirteen".