5201667564541 has 48 divisors (see below), whose sum is σ = 6437969620992. Its totient is φ = 4175956377600.

The previous prime is 5201667564529. The next prime is 5201667564553. The reversal of 5201667564541 is 1454657661025.

5201667564541 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5201667564529) and next prime (5201667564553).

It is not a de Polignac number, because 5201667564541 - 2¹⁵ = 5201667531773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201667564581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233551236 + ... + 233573506.

It is an arithmetic number, because the mean of its divisors is an integer number (134124367104).

Almost surely, 2^{5201667564541} is an apocalyptic number.

It is an amenable number.

5201667564541 is a deficient number, since it is larger than the sum of its proper divisors (1236302056451).

5201667564541 is a wasteful number, since it uses less digits than its factorization.

5201667564541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23650 (or 23643 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 5201667564541 in words is "five trillion, two hundred one billion, six hundred sixty-seven million, five hundred sixty-four thousand, five hundred forty-one".