253010164931328 has 288 divisors, whose sum is σ = 816643002470400. Its totient is φ = 67973673259008.

The previous prime is 253010164931317. The next prime is 253010164931399. The reversal of 253010164931328 is 823139461010352.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10045558 + ... + 24636021.

It is an arithmetic number, because the mean of its divisors is an integer number (2835565980800).

Almost surely, 2^{253010164931328} is an apocalyptic number.

253010164931328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

253010164931328 is an abundant number, since it is smaller than the sum of its proper divisors (563632837539072).

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

253010164931328 is a wasteful number, since it uses less digits than its factorization.

253010164931328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34681687 (or 34681673 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 253010164931328 in words is "two hundred fifty-three trillion, ten billion, one hundred sixty-four million, nine hundred thirty-one thousand, three hundred twenty-eight".