253090355310 has 192 divisors, whose sum is σ = 732113141760. Its totient is φ = 60240049920.

The previous prime is 253090355281. The next prime is 253090355311. The reversal of 253090355310 is 13553090352.

It is a happy number.

253090355310 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 90 + 3 + 553 + 10 = 666.

253090355310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253090355310² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253090355311) 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, 63796947 + ... + 63800913.

It is an arithmetic number, because the mean of its divisors is an integer number (3813089280).

Almost surely, 2^253090355310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253090355310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366056570880).

253090355310 is an abundant number, since it is smaller than the sum of its proper divisors (479022786450).

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

253090355310 is a wasteful number, since it uses less digits than its factorization.

253090355310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

It can be divided in two parts, 253090 and 355310, that added together give a square (608400 = 780²).

The spelling of 253090355310 in words is "two hundred fifty-three billion, ninety million, three hundred fifty-five thousand, three hundred ten".