501420015122264 has 256 divisors, whose sum is σ = 1160884887552000. Its totient is φ = 198172204738560.

The previous prime is 501420015122231. The next prime is 501420015122267. The reversal of 501420015122264 is 462221510024105.

It is a super-2 number, since 2×501420015122264² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501420015122267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5309411957 + ... + 5309506395.

It is an arithmetic number, because the mean of its divisors is an integer number (4534706592000).

Almost surely, 2^{501420015122264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501420015122264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580442443776000).

501420015122264 is an abundant number, since it is smaller than the sum of its proper divisors (659464872429736).

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

501420015122264 is a wasteful number, since it uses less digits than its factorization.

501420015122264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95086 (or 95082 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 501420015122264 its reverse (462221510024105), we get a palindrome (963641525146369).

The spelling of 501420015122264 in words is "five hundred one trillion, four hundred twenty billion, fifteen million, one hundred twenty-two thousand, two hundred sixty-four".