253637133376 has 189 divisors, whose sum is σ = 568623471717. Its totient is φ = 112167137280.

The previous prime is 253637133319. The next prime is 253637133377. The reversal of 253637133376 is 673331736352.

The square root of 253637133376 is 503624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 113892750400 + 139744382976 = 337480^2 + 373824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253637133377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2614815760 + ... + 2614815856.

Almost surely, 2^253637133376 is an apocalyptic number.

253637133376 is the 503624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253637133376

253637133376 is an abundant number, since it is smaller than the sum of its proper divisors (314986338341).

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

253637133376 is an frugal number, since it uses more digits than its factorization.

253637133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 169 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 49.

Multiplying 253637133376 by its sum of digits (49), we get a square (12428219535424 = 3525368²).

The spelling of 253637133376 in words is "two hundred fifty-three billion, six hundred thirty-seven million, one hundred thirty-three thousand, three hundred seventy-six".