252551326051050 has 192 divisors, whose sum is σ = 694426851503616. Its totient is φ = 60348224966400.

The previous prime is 252551326050937. The next prime is 252551326051051. The reversal of 252551326051050 is 50150623155252.

252551326051050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252551326051050² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252551326050993 and 252551326051011.

It is not an unprimeable number, because it can be changed into a prime (252551326051051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4428465 + ... + 22906635.

It is an arithmetic number, because the mean of its divisors is an integer number (3616806518248).

Almost surely, 2^{252551326051050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252551326051050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347213425751808).

252551326051050 is an abundant number, since it is smaller than the sum of its proper divisors (441875525452566).

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

252551326051050 is a wasteful number, since it uses less digits than its factorization.

252551326051050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18478405 (or 18478400 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 42.

The spelling of 252551326051050 in words is "two hundred fifty-two trillion, five hundred fifty-one billion, three hundred twenty-six million, fifty-one thousand, fifty".