265257961024 has 189 divisors, whose sum is σ = 651650878179. Its totient is φ = 106797035520.

The previous prime is 265257960991. The next prime is 265257961049. The reversal of 265257961024 is 420169752562.

The square root of 265257961024 is 515032.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9658958400 + 255599002624 = 98280^2 + 505568^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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 26 ways as a sum of consecutive naturals, for example, 490310194 + ... + 490310734.

Almost surely, 2^265257961024 is an apocalyptic number.

265257961024 is the 515032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265257961024

265257961024 is an abundant number, since it is smaller than the sum of its proper divisors (386392917155).

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

265257961024 is an frugal number, since it uses more digits than its factorization.

265257961024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 265257961024 by its sum of digits (49), we get a square (12997640090176 = 3605224²).

265257961024 divided by its sum of digits (49) gives a square (5413427776 = 73576²).

The spelling of 265257961024 in words is "two hundred sixty-five billion, two hundred fifty-seven million, nine hundred sixty-one thousand, twenty-four".