264098349025 has 27 divisors (see below), whose sum is σ = 380974340691. Its totient is φ = 181083677040.

The previous prime is 264098349007. The next prime is 264098349049. The reversal of 264098349025 is 520943890462.

The square root of 264098349025 is 513905.

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., 95075405649 + 169022943376 = 308343^2 + 411124^2 .

It is not a de Polignac number, because 264098349025 - 2¹⁵ = 264098316257 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17979334 + ... + 17994016.

Almost surely, 2^264098349025 is an apocalyptic number.

264098349025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

264098349025 is the 513905-th square number.

264098349025 is the 256953-rd centered octagonal number.

It is an amenable number.

264098349025 is a deficient number, since it is larger than the sum of its proper divisors (116875991666).

264098349025 is an frugal number, since it uses more digits than its factorization.

264098349025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29390 (or 14695 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 264098349025 in words is "two hundred sixty-four billion, ninety-eight million, three hundred forty-nine thousand, twenty-five".