53122434513000 has 512 divisors, whose sum is σ = 178057211904000. Its totient is φ = 13137965568000.

The previous prime is 53122434512971. The next prime is 53122434513059. The reversal of 53122434513000 is 31543422135.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11945676777 + ... + 11945681223.

It is an arithmetic number, because the mean of its divisors is an integer number (347767992000).

Almost surely, 2^{53122434513000} is an apocalyptic number.

53122434513000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53122434513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89028605952000).

53122434513000 is an abundant number, since it is smaller than the sum of its proper divisors (124934777391000).

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

53122434513000 is a wasteful number, since it uses less digits than its factorization.

53122434513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 53122434513000 its reverse (31543422135), we get a palindrome (53153977935135).

The spelling of 53122434513000 in words is "fifty-three trillion, one hundred twenty-two billion, four hundred thirty-four million, five hundred thirteen thousand".