501141065152 has 112 divisors (see below), whose sum is σ = 1225598556672. Its totient is φ = 197985070080.

The previous prime is 501141065137. The next prime is 501141065177. The reversal of 501141065152 is 251560141105.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×501141065152² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4269327 + ... + 4385137.

It is an arithmetic number, because the mean of its divisors is an integer number (10942844256).

Almost surely, 2^501141065152 is an apocalyptic number.

501141065152 is a gapful number since it is divisible by the number (52) 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 501141065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612799278336).

501141065152 is an abundant number, since it is smaller than the sum of its proper divisors (724457491520).

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

501141065152 is a wasteful number, since it uses less digits than its factorization.

501141065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116586 (or 116576 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 501141065152 in words is "five hundred one billion, one hundred forty-one million, sixty-five thousand, one hundred fifty-two".