52132514430500 has 384 divisors, whose sum is σ = 137543743733760. Its totient is φ = 16889978995200.

The previous prime is 52132514430481. The next prime is 52132514430539. The reversal of 52132514430500 is 503441523125.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 634120397 + ... + 634202603.

It is an arithmetic number, because the mean of its divisors is an integer number (358186832640).

Almost surely, 2^{52132514430500} is an apocalyptic number.

52132514430500 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 52132514430500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68771871866880).

52132514430500 is an abundant number, since it is smaller than the sum of its proper divisors (85411229303260).

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

52132514430500 is a wasteful number, since it uses less digits than its factorization.

52132514430500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82412 (or 82400 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 52132514430500 its reverse (503441523125), we get a palindrome (52635955953625).

The spelling of 52132514430500 in words is "fifty-two trillion, one hundred thirty-two billion, five hundred fourteen million, four hundred thirty thousand, five hundred".