257153452609 has 3 divisors (see below), whose sum is σ = 257153959713. Its totient is φ = 257152945506.

The previous prime is 257153452603. The next prime is 257153452613. The reversal of 257153452609 is 906254351752.

The square root of 257153452609 is 507103.

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 is not a de Polignac number, because 257153452609 - 2³ = 257153452601 is a prime.

It is a super-2 number, since 2×257153452609² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257153452601) 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, 253552 + ... + 760654.

It is an arithmetic number, because the mean of its divisors is an integer number (85717986571).

Almost surely, 2^257153452609 is an apocalyptic number.

257153452609 is the 507103-rd square number.

257153452609 is the 253552-nd centered octagonal number.

It is an amenable number.

257153452609 is a deficient number, since it is larger than the sum of its proper divisors (507104).

257153452609 is an frugal number, since it uses more digits than its factorization.

257153452609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014206 (or 507103 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

Multiplying 257153452609 by its sum of digits (49), we get a square (12600519177841 = 3549721²).

The spelling of 257153452609 in words is "two hundred fifty-seven billion, one hundred fifty-three million, four hundred fifty-two thousand, six hundred nine".