253622436513204 has 288 divisors, whose sum is σ = 681233989363200. Its totient is φ = 73290260736000.

The previous prime is 253622436513179. The next prime is 253622436513217. The reversal of 253622436513204 is 402315634226352.

253622436513204 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1739366469 + ... + 1739512275.

It is an arithmetic number, because the mean of its divisors is an integer number (2365395796400).

Almost surely, 2^{253622436513204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253622436513204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340616994681600).

253622436513204 is an abundant number, since it is smaller than the sum of its proper divisors (427611552849996).

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

253622436513204 is a wasteful number, since it uses less digits than its factorization.

253622436513204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146375 (or 146362 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 253622436513204 in words is "two hundred fifty-three trillion, six hundred twenty-two billion, four hundred thirty-six million, five hundred thirteen thousand, two hundred four".