253415002366050 has 384 divisors, whose sum is σ = 754785933465600. Its totient is φ = 55041797099520.

The previous prime is 253415002366033. The next prime is 253415002366069. The reversal of 253415002366050 is 50663200514352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 253415002365993 and 253415002366011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2291033146 + ... + 2291143754.

It is an arithmetic number, because the mean of its divisors is an integer number (1965588368400).

Almost surely, 2^{253415002366050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253415002366050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377392966732800).

253415002366050 is an abundant number, since it is smaller than the sum of its proper divisors (501370931099550).

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

253415002366050 is a wasteful number, since it uses less digits than its factorization.

253415002366050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111850 (or 111845 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 253415002366050 in words is "two hundred fifty-three trillion, four hundred fifteen billion, two million, three hundred sixty-six thousand, fifty".