52121522512125 has 384 divisors, whose sum is σ = 110198018211840. Its totient is φ = 23459284800000.

The previous prime is 52121522512097. The next prime is 52121522512153.

52121522512125 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 1 + 522 + 5 + 1 + 2 + 125 = 666.

52121522512125 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (52121522512097) and next prime (52121522512153).

It is not a de Polignac number, because 52121522512125 - 2⁷ = 52121522511997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52121522512125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1007757016 + ... + 1007808734.

It is an arithmetic number, because the mean of its divisors is an integer number (286974005760).

Almost surely, 2^{52121522512125} is an apocalyptic number.

52121522512125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52121522512125 is an abundant number, since it is smaller than the sum of its proper divisors (58076495699715).

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

52121522512125 is a wasteful number, since it uses less digits than its factorization.

52121522512125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51890 (or 51877 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

It can be divided in two parts, 5212152 and 2512125, that added together give a palindrome (7724277).

The spelling of 52121522512125 in words is "fifty-two trillion, one hundred twenty-one billion, five hundred twenty-two million, five hundred twelve thousand, one hundred twenty-five".