257238652969 has 9 divisors (see below), whose sum is σ = 258311741751. Its totient is φ = 256170009960.

The previous prime is 257238652961. The next prime is 257238653029. The reversal of 257238652969 is 969256832752.

The square root of 257238652969 is 507187.

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., 44337619225 + 212901033744 = 210565^2 + 461412^2 .

It is not a de Polignac number, because 257238652969 - 2³ = 257238652961 is a prime.

It is a super-2 number, since 2×257238652969² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257238652969.

It is not an unprimeable number, because it can be changed into a prime (257238652961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140489884 + ... + 140491714.

It is an arithmetic number, because the mean of its divisors is an integer number (28701304639).

Almost surely, 2^257238652969 is an apocalyptic number.

257238652969 is the 507187-th square number.

257238652969 is the 253594-th centered octagonal number.

It is an amenable number.

257238652969 is a deficient number, since it is larger than the sum of its proper divisors (1073088782).

257238652969 is an frugal number, since it uses more digits than its factorization.

257238652969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 2108 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 64.

Multiplying 257238652969 by its sum of digits (64), we get a square (16463273790016 = 4057496²).

The spelling of 257238652969 in words is "two hundred fifty-seven billion, two hundred thirty-eight million, six hundred fifty-two thousand, nine hundred sixty-nine".