253235161296 has 400 divisors, whose sum is σ = 837535283200. Its totient is φ = 73224539136.

The previous prime is 253235161273. The next prime is 253235161321. The reversal of 253235161296 is 692161532352.

253235161296 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 3 + 516 + 129 + 6 = 666.

It is a super-2 number, since 2×253235161296² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40651110 + ... + 40657338.

It is an arithmetic number, because the mean of its divisors is an integer number (2093838208).

Almost surely, 2^253235161296 is an apocalyptic number.

253235161296 is a gapful number since it is divisible by the number (26) 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 253235161296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418767641600).

253235161296 is an abundant number, since it is smaller than the sum of its proper divisors (584300121904).

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

253235161296 is a wasteful number, since it uses less digits than its factorization.

253235161296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6393 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 253235161296 in words is "two hundred fifty-three billion, two hundred thirty-five million, one hundred sixty-one thousand, two hundred ninety-six".