1252727331 has 16 divisors (see below), whose sum is σ = 1806188544. Its totient is φ = 769299584.

The previous prime is 1252727321. The next prime is 1252727347. The reversal of 1252727331 is 1337272521.

1252727331 = 3604² + 3605² + ... + 3697².

It is a cyclic number.

It is not a de Polignac number, because 1252727331 - 2¹⁷ = 1252596259 is a prime.

It is a super-2 number, since 2×1252727331² = 3138651531668767122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1252727292 and 1252727301.

It is not an unprimeable number, because it can be changed into a prime (1252727321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258915 + ... + 263708.

It is an arithmetic number, because the mean of its divisors is an integer number (112886784).

Almost surely, 2^1252727331 is an apocalyptic number.

1252727331 is a deficient number, since it is larger than the sum of its proper divisors (553461213).

1252727331 is a wasteful number, since it uses less digits than its factorization.

1252727331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522690.

The product of its digits is 17640, while the sum is 33.

The square root of 1252727331 is about 35393.8883283541. Note that the first 3 decimals coincide. The cubic root of 1252727331 is about 1078.0002234491. Note that the first 3 decimals are identical.

Adding to 1252727331 its reverse (1337272521), we get a palindrome (2589999852).

The spelling of 1252727331 in words is "one billion, two hundred fifty-two million, seven hundred twenty-seven thousand, three hundred thirty-one".