275125426576 has 405 divisors, whose sum is σ = 743720275809. Its totient is φ = 98190892800.

The previous prime is 275125426553. The next prime is 275125426649. The reversal of 275125426576 is 675624521572.

The square root of 275125426576 is 524524.

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., 40699027600 + 234426398976 = 201740^2 + 484176^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2100194031 + ... + 2100194161.

Almost surely, 2^275125426576 is an apocalyptic number.

275125426576 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

275125426576 is the 524524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275125426576

275125426576 is an abundant number, since it is smaller than the sum of its proper divisors (468594849233).

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

275125426576 is a wasteful number, since it uses less digits than its factorization.

275125426576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 164 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 52.

The spelling of 275125426576 in words is "two hundred seventy-five billion, one hundred twenty-five million, four hundred twenty-six thousand, five hundred seventy-six".