823051257 has 32 divisors (see below), whose sum is σ = 1281795840. Its totient is φ = 460012800.

The previous prime is 823051219. The next prime is 823051303. The reversal of 823051257 is 752150328.

It is not a de Polignac number, because 823051257 - 2¹¹ = 823049209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (823051217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432007 + ... + 433907.

It is an arithmetic number, because the mean of its divisors is an integer number (40056120).

Almost surely, 2^823051257 is an apocalyptic number.

It is an amenable number.

823051257 is a deficient number, since it is larger than the sum of its proper divisors (458744583).

823051257 is a wasteful number, since it uses less digits than its factorization.

823051257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 823051257 is about 28688.8699150036. The cubic root of 823051257 is about 937.1496791722.

The spelling of 823051257 in words is "eight hundred twenty-three million, fifty-one thousand, two hundred fifty-seven".