353252025 has 81 divisors (see below), whose sum is σ = 740148591. Its totient is φ = 160584480.

The previous prime is 353251991. The next prime is 353252071. The reversal of 353252025 is 520252353.

The square root of 353252025 is 18795.

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., 127170729 + 226081296 = 11277^2 + 15036^2 .

It is not a de Polignac number, because 353252025 - 2¹⁷ = 353120953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 353252025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1973386 + ... + 1973564.

Almost surely, 2^353252025 is an apocalyptic number.

353252025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

353252025 is the 18795-th square number.

353252025 is the 9398-th centered octagonal number.

It is an amenable number.

353252025 is an abundant number, since it is smaller than the sum of its proper divisors (386896566).

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

353252025 is a wasteful number, since it uses less digits than its factorization.

353252025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The cubic root of 353252025 is about 706.9058136793.

The spelling of 353252025 in words is "three hundred fifty-three million, two hundred fifty-two thousand, twenty-five".