51525251414000 has 1280 divisors, whose sum is σ = 165942179020800. Its totient is φ = 15011684352000.

The previous prime is 51525251413997. The next prime is 51525251414069. The reversal of 51525251414000 is 41415252515.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43628493410 + ... + 43628494590.

It is an arithmetic number, because the mean of its divisors is an integer number (129642327360).

Almost surely, 2^{51525251414000} is an apocalyptic number.

51525251414000 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 51525251414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82971089510400).

51525251414000 is an abundant number, since it is smaller than the sum of its proper divisors (114416927606800).

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

51525251414000 is a wasteful number, since it uses less digits than its factorization.

51525251414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 35.

Adding to 51525251414000 its reverse (41415252515), we get a palindrome (51566666666515).

The spelling of 51525251414000 in words is "fifty-one trillion, five hundred twenty-five billion, two hundred fifty-one million, four hundred fourteen thousand".