52413121205040 has 120 divisors (see below), whose sum is σ = 164941959132720. Its totient is φ = 13768222600704.

The previous prime is 52413121205021. The next prime is 52413121205041. The reversal of 52413121205040 is 4050212131425.

52413121205040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-5 number, since 5×52413121205040⁵ (a number of 70 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52413121204989 and 52413121205007.

It is not an unprimeable number, because it can be changed into a prime (52413121205041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23247435 + ... + 25402154.

It is an arithmetic number, because the mean of its divisors is an integer number (1374516326106).

Almost surely, 2^{52413121205040} is an apocalyptic number.

It is an amenable number.

52413121205040 is an abundant number, since it is smaller than the sum of its proper divisors (112528837927680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52413121205040 is a wasteful number, since it uses less digits than its factorization.

52413121205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48649739 (or 48649666 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 52413121205040 its reverse (4050212131425), we get a palindrome (56463333336465).

The spelling of 52413121205040 in words is "fifty-two trillion, four hundred thirteen billion, one hundred twenty-one million, two hundred five thousand, forty".