5202961 has 3 divisors (see below), whose sum is σ = 5205243. Its totient is φ = 5200680.

The previous prime is 5202917. The next prime is 5202971. The reversal of 5202961 is 1692025.

The square root of 5202961 is 2281.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3129361 + 2073600 = 1769^2 + 1440^2 .

It is not a de Polignac number, because 5202961 - 2¹¹ = 5200913 is a prime.

It is a Duffinian number.

5202961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5202971) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1141 + ... + 3421.

It is an arithmetic number, because the mean of its divisors is an integer number (1735081).

Almost surely, 2^5202961 is an apocalyptic number.

5202961 is the 2281-st square number.

5202961 is the 1141-st centered octagonal number.

It is an amenable number.

5202961 is a deficient number, since it is larger than the sum of its proper divisors (2282).

5202961 is an frugal number, since it uses more digits than its factorization.

5202961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The cubic root of 5202961 is about 173.2806985977.

Multiplying 5202961 by its sum of digits (25), we get a square (130074025 = 11405²).

Adding to 5202961 its reverse (1692025), we get a palindrome (6894986).

It can be divided in two parts, 520 and 2961, that added together give a square (3481 = 59²).

The spelling of 5202961 in words is "five million, two hundred two thousand, nine hundred sixty-one".