501145135000 has 80 divisors (see below), whose sum is σ = 1175734925640. Its totient is φ = 200193120000.

The previous prime is 501145134961. The next prime is 501145135039. The reversal of 501145135000 is 531541105.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (501145134961) and next prime (501145135039).

It is a super-2 number, since 2×501145135000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3739147 + ... + 3870853.

Almost surely, 2^501145135000 is an apocalyptic number.

501145135000 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 501145135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587867462820).

501145135000 is an abundant number, since it is smaller than the sum of its proper divisors (674589790640).

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

501145135000 is a wasteful number, since it uses less digits than its factorization.

501145135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132494 (or 132475 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 501145135000 its reverse (531541105), we get a palindrome (501676676105).

The spelling of 501145135000 in words is "five hundred one billion, one hundred forty-five million, one hundred thirty-five thousand".