252125498641 has 3 divisors (see below), whose sum is σ = 252126000763. Its totient is φ = 252124996520.

The previous prime is 252125498567. The next prime is 252125498689. The reversal of 252125498641 is 146894521252.

The square root of 252125498641 is 502121.

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., 6228524241 + 245896974400 = 78921^2 + 495880^2 .

It is not a de Polignac number, because 252125498641 - 2¹¹ = 252125496593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252125495641) 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, 251061 + ... + 753181.

Almost surely, 2^252125498641 is an apocalyptic number.

252125498641 is the 502121-st square number.

252125498641 is the 251061-st centered octagonal number.

It is an amenable number.

252125498641 is a deficient number, since it is larger than the sum of its proper divisors (502122).

252125498641 is an frugal number, since it uses more digits than its factorization.

252125498641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004242 (or 502121 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

Multiplying 252125498641 by its sum of digits (49), we get a square (12354149433409 = 3514847²).

The spelling of 252125498641 in words is "two hundred fifty-two billion, one hundred twenty-five million, four hundred ninety-eight thousand, six hundred forty-one".